The short answer is yes, you can. But keep in mind that every Plastic Surgeon is different. Many will only perform cosmetic surgery on their patients if paid in full prior to the surgery itself. Others will have lending agencies support them and help with financing of surgeries in order to protect against not being paid.
I personally take all major credit cards. I also happily accept Prosper Healthcare Lending, which is an actual loan that is sent to you which in turn you use to pay for your surgery, or CareCredit, which is basically a health credit card that can be used for cosmetic surgery. You can visit their websites and immediately know how much they will approve you for after you answer a few basic questions. You can finance the payments in a traditional way or do 6-12 months no interest if paid in full. Take a look, and remember there are plenty of other options out there to help you get the cosmetic surgery that you’ve always wanted!