Is there a way to get rid of overbite without fixed braces?

Questionable: Invisalign may help with some issues. I am nnot sure that it can completely sovle a deep bite issue. Consult an orthodontist for their opinion.

Yes probably: Both invisalgn and veneer are possible in the right situation. Each person is unique and you will need to talk to someone who does both of these procedures.

No: Corecting an overbite only can be done through fixed braces only, since it needs excessive forces to move teeth in the jaw bones to reduce the overbite beyween upper and lower teeth.

Possible: It is possible to change tooth relationships without fixed braces. Most common would be some sort of clear aligner type of orthodontics such as invisalign or clear correct. Another option would be to crown of veneer the teeth in order to adjust size/shape/position. Talk to a dentist/orthodontis who is familiar with all of these procedures to find out if they are an option for you.