Can my ferret give any parasites or diseases to to me even if he is up to date on shots?

If your ferret is up-to-date with all current shots, there should literally be no way for you to contract anything. I believe the only known disease that is commonly transferred from animal to human would be rabies, but even then, your ferret still has his vaccinations.

Regardless, if your furry companion has bitten and drawn blood from you, and you've fallen ill, it is best to seek medical attention immediately.