Do c5c6 and c6c7 disc bulge cause the right hand/arm to go numb?

Yes. Herniated discs in necks can cause numbness pain and weakness in the hand.
Yes. C5-6 and c6-7 disk bulges which compress the exiting right cervical spinal nerves may cause the right arm and hand to go numb. This may also be caused by spinal cord compression.