Chest pain can be caused by various reasons, including minor problem such as indigestion or stress, to serious medical emergencies such as a heart attack
Since you have a history of high blood pressure
as mentioned in your post, the chest pain might be due to angina. So, investigations like an Electrocardiogram or Stress Echocardiography
will be helpful to rule out any cardiac pathology.
Other causes of chest pain include:
1. Strained chest muscles due to overuse
2. Chest muscle injury
3. Short-term, sudden anxiety with rapid breathing
4. Peptic ulcer
5. Pain from the digestive tract, such as esophageal reflux
Even in the causes involving the digestive tract, pain gets referred to neck & shoulder due to irritation of diaphragm & phrenic nerve
So, it will be better to consult a Doctor & get a physical examination done to rule out other causes. So that proper management steps could be taken.
Wishing you a Good Health. Let me know if I need to clarify further.
Thanks & take care.