Can you have a condyloma on your vaginal wall if you do not have hpv?

Yes. There are two main types of condyloma. Condyloma acuminata is caused by hpv types 6 and 11 and is termed hpv warts. Condyloma lata is caused by syphilis. If you suspect either, see your doctor for diganosis, treatment and discussion.
Yes. Condyloma comes in different varieties. There are condyloma accuminata which are hpv related, and condyloma lata which for example are related to a syphilis infection.