Most likely yes.

But it'll ultimately depend on the situation and the NPC you picked.

For example; Mai is going to stay at her restaurant. Her little stoat is tiny enough that he can hide really well, so she's going to be pretending to be normal (with the help of contacts...) in order to funnel people through to a safe place. However, Danny's plan is to pick up his nephew and take him into the park where he'll be safer, so both of them may bring along the people who contact them.

Side note: Don't forget that the moment you bond your animal your eyes change to that super light ice-blue color! Mellie doesn't know yet due to the lack of mirrors and other people in the forest, but if your character is near people (or mirrors) feel free to give them a bit of a shock ;)

Bunnita, don't forget that your NPC has to like/trust you enough to give you the info...If you don't yet know the Haven exists (which you wouldn't) he has to offer the info...just a comment, lol