Yes, bacterial prostatitis can be passed on to sexual partners,because Prostatitis is highly infectious.
Prostatitis is caused by inflammation of the prostate gland by a variety of bacteria, mycoplasma, or Chlamydia. These bacteria and pathogen are highly contagious. Therefore, prostatitis itself is also highly infectious.
The bacteria and pathogen could be easily passed on to the wife via sex from the sick husband, thereby causing some female urinary and reproductive system disease. If the couples don't take treatment simultaneously, the condition will very possibly cause cross infection between the couples, and that is why prostatitis is prone to recurring.
Good luck
Dr. Lee
