In the first public draft of the Pathfinder 2e playtest (Aug. 2018), there are several second level feats that require expert in various skills. One example is Magical Crafting. It seems as if it is not possible to have an expert rank in a skill until level 3 when you get your first skill increase. Is it possible for any character to choose one of these skill feats at level 2?
Yes, it's possible
There are ways to become Expert in a skill as early as 2nd level, such as the Gnome racial feat Obsessive:
Pick a category of the Lore skill. You are trained in that skill. At 2nd level you become an expert
Rogues also gain a skill increase at 2nd level, and another skill increase every level, instead of every 2 levels like the other classes (starting at 3rd):
At 2nd level and every level thereafter, you gain a skill increase. You can use this increase to either become trained in one skill you’re untrained in, or become an expert in one skill in which you’re already trained.
So, it seems like all those Acrobatics and Athletics themed feats available at 2nd level are just at the right level for rogues to get them. Magical Crafting, as weird as it sounds, is also possible for a 2nd level rogue. While other classes would have to wait to take it at 3rd level or later.