Does a toothache make your blood pressure go up?

Possibly. Any kind of pain can cause the blood pressure to increase a bit, but not always.
Yes. Pain in general can raise your blood pressure. However, this may not be the only cause of your high blood pressure. I would have your condition checked by your physician and your toothache treated by your dentist.
Only temporary. It would not cause a permanent blood pressure problem or a cardiovascular disease. See your dentist and fix the problem.