Unless one goes by the most esoteric of definitions, this question is not even worth asking. The answer is glaringly, blindingly yes. If figure skating isn't campy, nothing is.
And it is very esoteric to try to insist that camp must be intentional and witty. Since the concept existed, it has been a label that's assigned, often derogatorily, by a viewer/critic to something that someone else is doing. Do some performers/creators, once aware of the concept, aim for camp? Sure. But most of the time, things are deemed camp.
Figure skating is inherently campy at the competitive level. The athletes wear heavy makeup and elaborate costumes during competition. Most competitors use dramatic music that they emote to. Ice dancing alone provides enough campiness for the entire sport. As fans and participants who are inured to the everyday excesses of the sport, it may be tough to see how ridiculous it is. But to the uninitiated, figure skating is thoroughly, ballistically campy.
As for who may be the campiest skaters competing today, that's not really a fair question to ask across the disciplines (ice dancers would win in a landslide). Instead, let's first compare the disciplines:
Ice dancing, of course, is the undisputed champ. Looking at the current World standings, I'd have to say among the top skaters, men's singles is campier than women's. This might be owed to the fact that the top women skew younger, and those younger skaters have had less time to bother with any kind of theatricality in their performances (Gracie Gold epitomizes this). And the least campy discipline these days is pairs. With how difficult, dangerous and complicated high level pair skating is now, pair skaters just don't seem to have any time to perform. Even the top pairs teams barely have any breathers in their competitive programs to vamp. Spin, lift and death spiral positions, which in past eras would lend themselves to plenty of campiness, now seem like yoga done at gunpoint.
So who's campy, who's not within the top echelon of each discipline?
Among the top ice dancers, Meryl Davis stands out as one of the campiest, while her partner Charlie White is the least. Maybe that's why they make such a good team. Madison Chock, the woman in my avatar picture, is another camp winner. Really, aside from the aforementioned Mr. White, ice dancing has so much camp I don't see how I can sort them.
Among the top men's singles, Daisuke Takahashi takes the tiara. Florent Amodio has a pretty good case for snatching it from him, though. Yuzuru Hanyu and Javier Fernandez are also two shiny hams. It might be easier to list who is not campy. And among the current top 20 men in the world, it'd have to be Han Yan. Who, while slightly more emotive than the rest of the poker-faced (and not in the Lady Gaga/Johnny Weir way) Chinese single skaters, still falls far short of displaying any kind of emotion during a skate.
Among the top women, Alena Leonova would win Faye Dunaway's Wire Hanger of camp, but she's not really a top skater any more except by the lagging indicator of the ISU rankings. Akiko Suzuki, who always goes all out during her movie/musical inspired footwork sequences, may have a claim. Mao Asada can occasionally turn up the camp, like she did with her "I Got Rhythm" short program. Carolina Kostner stakes out her ground in camp with all that hip-shaking in her Bolero piece. Overall, though, the women just don't go over the top enough. Yuna Kim is the greatest disappointment in this area. In her recent short program, she skated to music from a b-list horror movie. And yet there was very little kissing and very little vamping in her The Kiss of the Vampire program. And like I said before, Gracie Gold stands out as devoid of camp, as she doesn't bother to perform at all.
In pairs, Savchenko and Szolkowy used to have plenty of camp (they did programs to Pink Panther and Lost in Space, after all). But now, like most other pair teams, they seem way too focused on executing difficult elements to bother much with anything else. Overall, pairs gets a big fat fail for campiness.