Only if the wild animal is playing Fate with you.
(Please don't play RPGs with wild animals.)
Concession, as a mechanic, specifically faces outward to the real people playing. It's explicitly about the parsing of narrative authority over the fate of the character post-conflict, and nothing else.
Characters do not concede. People do.
So it's basically like ...
Yes, in general
You can totally concede to a wild animal or group of wild animals. You could also concede to a force of nature, like a storm or wildfire or something, or anything else that is being modeled as an opponent in a conflict scene.
You probably shouldn't concede when your death is the goal, though
Fate Core says:
Concession gives the other person ...
If you're talking about genetic inheritability, we run into a tricky situation. The spell's duration is "instantaneous," indicating that the spell's effect is permanent and not reliant upon continuing magical energy to remain in effect. In other words, the spell creates a permanent, non-magical change in the creature.
For that to happen to an ...