Hepatitis A virus and hepatitis B virus doesn't belong to the same family.
So, yes, you still need hepatitis A vaccination if you wish to get immunized against hepatitis A.

Hepatitis B virus are transmitted from one to another through blood (sharing needle, blood transfusion) and body fluids (saliva, semen, vaginal discharge).
Besides vaccination, you should not share your towel, toothbrush and personal belongings that has body contact with others to prevent infection by hepatitis B virus.
Also, safe sex using condom, and be loyal to your spouse/gf.