I live in Washington state and I would like to buy a headset for my gaming friend in NY is it possible to order it here and he can pick it up over there?

Yes. You can choose which store to pick up your merchandise if you order online. If Best Buy doesn't have that arrangement, then you you will see it. BE SURE TO CLICK ON THE CORRECT STORE IN NY where you want to pick up. Put you friend's name as the recipient.

Yes, If it's under your name and you mention him to pick it up. It's ok. You have to provide some info about him

I don't think so.