Can Dental Bonding Be Removed?

I had braces when I was in college but after I took it off, my teeth became more uneven and I had teeth gaps because I did not wear my retainers on. I did not want to wear braces anymore so I opt for dental bonding. However, two years after I had dental bonding, my teeth are now chipping and cracking. Is it possible to have the bonding removed then get braces again? Thanks for your help!