Hey Josh,
We took your question to one of our transplant nurse managers. She wrote:
"Yes! You can still get a kidney transplant if you have a common cold. As long as you don’t have pneumonia, this should not be an issue. However, if you have questions about your current status, you can always check with the doctors and transplant team who are caring for you. They may have recommendations that are specific to your situation. We hope you feel better soon!"

I know you've been waiting for 5 years and you must worry about every sniffle. It can't be easy. I bet @coastalgirl @scottb32 and @v1crew can relate.
Josh, do you have a cold right now?