Can a Tummy Tuck cause bladder and urinary issues?

It would be highly unusual for a well executed abdominoplasty to affect your bladder and urinary tract. The only way that that would be affected would be if there was a gross surgical misadventure in which the intra-abdominal cavity was entered and the bladder was directly injured.

It would be extremely rare for that to cause a problem as you have described. Maybe I could see initially if the abdomen was too tight it could put pressure on the bladder, but you would be the first person ever that I have heard of a tummy tuck causing this problem. It is highly unlikely but anything is possible.