Yes.
Keep in mind first that these age limits and the definitions of the novice levels apply to international competitions only.
National federations may adopt them for domestic competitions exactly as the ISU has defined them, or they may have different rules, and different names for the middle levels, within their own competitions.
The actual skating rules for novice competition may differ between countries as well. For example, last I knew the US and Canadian novice short program requirements were somewhat different from the ISU advanced novice requirements and also somewhat different from each other -- which gets a bit tricky when skaters cross the border to compete at club competitions.
And it's mostly skaters from small federations in Europe who compete internationally at novice level. Because there are a lot of different countries in Europe within relatively easy travel distance of each other, and many with small skating communities with only enough skaters to hold small competitions, if any, at each level, international competitions in Europe can serve a similar function that club competitions serve in Canada and the US. The ISU novice rules, designed to standardized rules for these lesser internationals and also to offer guidance to new federations looking to organize their domestic competition structure, are relatively new. More established federations in the 20th century had already developed their own rules for levels below junior. And those (such as the US and Canada) where the needs for domestic novice competition were different than the needs of smaller European federations chose not to change their domestic rules to match the ISU recommendations.
Also, skaters often compete at a different level domestically than they do internationally.
Most novices, even the promising ones, in the US, for example, never get an opportunity to compete internationally. When the US does send to novice international competitions, it's often skaters who distinguished themselves at US Nationals at the junior level but are too young for junior international competition.
I'm most familiar with the US system. There the competitive levels are Senior, Junior, Novice, Intermediate, Juvenile (and below that Prejuvenile, Preliminary, Prepreliminary, and No-Test). Of those, only Juvenile and Intermediate have age limits for domestic competitions. It's test level, not age, that determines what level you're allowed to compete within the US. You could have a senior who is 10 or a novice who is 34. Of course, they wouldn't be allowed to compete internationally at those levels, assuming they were good enough to be considered for international assignments.
For example, in 2013 Vincent Zhou won the US junior championship, but because he was only 12 at the time (and would not be 13 in time for the 2013-14 JGP season), he was sent to the Gardena Spring Trophy at the Advanced Novice level (which he won).
The US has often also sent skaters who competed at the senior level domestically to JGP, Junior Worlds, or other junior international competitions, either because they were too young for senior internationals or because the senior assignments were going to other skaters who were either older and/or higher ranked.
Competing at different levels in the same year, one domestically and one internationally, is a bit of a disadvantage because the skaters need two versions of their programs. But if it's a choice between that or not competing internationally at all, most are willing to adapt the programs.
I don't know offhand of someone who competed novice internationally one year and then senior internationally the next year without ever competing as a junior, although it's likely some exist.
As for skaters skipping levels domestically, one who comes to mind is
Deanna Stellato, who won the US novice title in 1999 and then tested up to compete senior at 2000 Nationals. But internationally she competed junior that year (winning the JGP Final and taking silver at Jr. Worlds), so she didn't skip levels internationally.
Another from the same era was
Nicole Watt of Canada. I understand that in the 1999 season she was competing at the Pre-Novice level (equivalent to Intermediate in the US and I guess to the Novice A/B international levels). Then, because she had started landing triples and because she expected that her skating career would be cut short by her juvenile arthritis, she moved up to Senior level for the 2000 season within Canada -- and ended up qualifying for Canadian Nationals and placing 4th. But her first international competitions were at Junior level.
So we can say that Stellato skipped Junior level within the US, and Watt skipped Novice and Junior levels within Canada. But neither of them skipped any levels internationally -- they started their international careers as juniors and then competed as seniors, and ended their careers not long after for health reasons.
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), but a couple of years ago I came across a guy in his 30's who was competing both as a singles skater and as part of a partnership, and he was competing at different levels in each (I think it was Senior in one, and Novice in the other. But which category was at each level, I can't remember!)
I thought it just meant "wonky axel" or something, lol.
