I mean it's possible, but risky. I've done it once or twice with a 1cm frame. Because of the narrow hold, it's much easier to slip off at slight movements. I'd look for other options
Not sure if I understand the question correctly.
I just measured the vertical part of the hook as just under 10cm. If the door frame is 'higher' than that, the crossbar will butt up against the pull-up bar.
I hope this is understandable.