No, you do need new wheels to get the tyres to fit properly.
You will need a new frame to allow clearance for the bigger wheels.
A change of frame usually means a change of BB and seatpost sizes so they will need changing too.
The headset will probably be dfferent but that doesn’t matter as you’ll need new forks to allow clearance for the new front wheel anyway.
The new wheels will effectively gear it up so you may need a new drivetrain too.