Yes, it is possible for a person to get HPV even if they have received the vaccination. The HPV vaccine protects against certain strains of the virus but not all of them. If you currently have HPV and your partner does not, there is still a risk that he could contract the infection through sexual contact with you. It's important to communicate openly about your health status and consider using protection like condoms to reduce transmission risks. Additionally, regular monitoring by healthcare professionals can help manage any potential concerns or further inquiries regarding treatment options or preventative measures.

It’s always recommended for both partners in a relationship to discuss their sexual health history honestly and openly during conversations around protecting themselves from sexually transmitted infections (STIs) such as HPV.
Please consult with healthcare providers who are experts on this matter should additional questions arise regarding prevention strategies or managing an existing diagnosis appropriately.