Could prostatitis make my testicles swollen?

No. Not usually. If you have a very severe prostatic infection you may get testicular swelling with prostatitis but that is very rare. Patricio gargollo, pediatric urology, dallas, texas.
Indirectly. Prostatitis and epididymoorchitis are often of similar origin and can be found occurring together. See a urologist for prostate exam and testicular exam and treatment.