As title.
If they do, it isn't printed in their Advancement Table (3-19)
If they don't, then why do some of the Sorcerer Feats have prerequisites of level 1?
Some Human sorcerers do.
Class Feats at first level are generally reserved for martial (i.e. "no spell slots") classes. Casters also do not get class feats on even levels where their spellcasting proficiency increments (so sorcerers skip 12 and 16).
Sorcerers have 1st level feats because humans can get a 1st level class feat with an ancestry feat.
Sorcerers are one of several classes that don't recieve a Class Feat at first level. However since Humans can acquire a 1st level class feat at 1st level; such classes must have '1st level' feats to select anyway. It doesn't stop other ancestries from taking those feats at 2nd level.
And I think their bloodline gives them a specific power at level 1, which may just take the place of the level-1 feat other classes get.