No. The blood pressure may have gone up if the hot sauce was really hot but hypertension is a diagnosis over time and is not diagnosed on an acute event. If there is a concern, see if you can take blood pressures over a few weeks with a bought or borrowed cuff and if consistently over 140 on the top number or 90 on the bottom number, see a pcp and get checked out!
Possibly. If hot sauce caused you discomfort, discomfort can cause your blood pressure to increase.