Hi London,
Yes, I’ve been through the same thing, had to cough all the time while healing and it always made me cringe, but I didn’t damage anything and the healing went well. I had a catheter in for three weeks after my surgery to hold the wound open so the urethra and graft were literally healing around a plastic tube and no amount of coughing could interfere with that. More painful were the erections, which the doctor gave me nitrate for.
Hope it all goes well!