Will sciatica cause pain in testicle?

Not typically: Best to seek alternative diagnosis.

Groin pain: Sacroiliac joint dysfunction can but see your doctor to rule out testicular causes.

No: Typically the nerves to the testicle /groin can come from one from lumbar and sacral nerve roots. Compression of these nerves roots in the spinal canal can cause irritation that can be felt in the groin. This is not a typical sciatic nerve root pattern since these leave the spinal canal before integrating into the typical sciatic nerve but you could also have sciatica as well.