Yes, there are small eggs on the table...
Alien: Covenant Forum Topic

Ati
MemberPraetorianAugust 03, 20178265 Views10 RepliesIf I remember correctly, sherris mentioned in one of the threads that small eggs can be seen on the table in David's lab suggesting that the small facehugger embryos (revealed by David at the end of the movie) are from those alien eggs.
Yes, there are eggs on the table:
Were these eggs taken out of the creature on the right? Is that a four-legged alien chicken? :)