It’s usually a good idea to let them come out on their own because buns 1) can be territorial and 2) don’t like being picked up all the time. Babies tend to be better about letting you pick them up and hold them, but as they age, most bunnies prefer to be on the ground and picking them up all the time can make them wary of humans. Some bunnies are the exception and enjoy being cuddly lap bunnies though.

What is his set up like? How long has he been with you? You say hutch, so does he have to jump down a ways or go down a ramp to get out?

When I had to keep my rabbits in a setting where I had to pick them up out of their condo and take them to a safe play area our relationship went really downhill. They hated it, and they grew to distrust me as I was always having to get them into their litter box or carrier to move them. Now they are back somewhere where I just open their door and they hop out and can come and go as they please and they love me again!

So I’m a firm believer that rabbits should be left on the floor as much as possible, they feel better this way and they will like you better for it. I’d just gives yours more time, lie on the floor with treats in your open hands and after a while he will surely want to investigate. Once he learns he can come and go as he pleases he will be much happier. But just don’t pick him up and smother him with cuddles all the time because unlike cats or dogs, bunnies are very scared of that. They prefer to sit on the ground or sofa and have you rub their noses/foreheads/ears like another bunny would.

Also, you say a hutch so is he outside and just in a hutch? it’s much better to keep him inside in something like an xpen with more room, hutches are never really big enough and an xpen attached to a cage (or the hutch, or on its own) will probably be easier for the both of you to overcome this current issue.