Do you need to ask for permission to do a photo shoot ?

Probably not.

I've done plenty of photoshoots, they are super chill about it. I went to do pre engagement photoshoots to ones with models. I think if it's just the photographer and models, it's fine but when you start bringing equipment and like fancy costumes that's when they start to care a bit more

They seemed pretty relaxed, probably depends on how elaborate