Having rhinoplasty in 2 weeks; If I still have a blocked nose when surgery comes, will they still do the operation?

You need to speak with your surgeon. It could be something minor like allergies or could be a virus. If it’s a virus it should be over by the time of your surgery. Not a bad idea to get an at home Covid test and make sure that’s not the issue

If you were breathing perfectly normal until ten days ago and now cannot, I would go see your doctor to find out if you have a cold, allergies, etc.    Rhinoplasty surgery is 100% elective and I would not do it if you are not perfectly healthy.