It makes the software problem harder but it certainly is possible.
Animals also have (non)-artificial general intelligence. That doesn't mean Tesla's making a reasonable design choice if they build something in a way that relies on having that kind of capability.
But betting your FSD on doing object reconition and physical intuition seems like a bad bet.
edit: Since this got such a negative reaction I'll amend it with more of an argument.
If an animal can do X with eyes, this in no way implies we can do X with binocular cameras, as it completely discounts
1) our eyes are preprocessors for our brain in a way that cameras are not. That both sensors capture light doesn't mean they are equivalent.
2) robot brains are not there, in any way, shape, or form.
edit: I don't understand how this is a controversial statement...
Do you have any scenarios in mind? Driving is not only a navigation challenge, but a social challenge as well. Have you ever tried to navigate a 4 way stop when multiple cars get there at the same time?
But depth perception isn't really involved there so those theory of mind issues don't really have any bearing on the need for lidar for self driving cars. Clearly creating world models of sufficient accuracy for driving scale navigation challenges is possible (but potentially pretty hard) with just vision data.
Do you know how animals do it?