Is it safe for a blood pressure patient to do hair transplant? I am taking Calcium blocker (Amlodipine 5 mg) daily.

The decision to proceed with surgery is between you and your doctor.  In general, high blood pressure should not be an issue if your blood pressure is well controlled.  Please inform your doctor.

Momo Ali,Thanks for the question. It is absolutely safe, for a patient with well controlled high blood pressure to undergo hair transplantation.Sincerely,Bernardino A. Arocha, MD

First, is 140 the "top" or systolic number, if so, that is barely "high".  If that is the "bottom" or "diastolic", then you need to see your primary care doctor, and I mean DOCTOR, yesterday!
Your choice of provider is most important.  Find a physician doing hair transplants in your area.  People tend to "shop" around for prices more than for proper medical providers.  I'm not saying you do this, but in general.  Remember, hair transplantation is a "medical" procedure, involving medications and risks and very nice rewards.
The proper medical evaluation and montioring will easily make hair transplantation possible for you.  
So, carry on if you are 140/over something.  But if you are "something"/over 140, well that's serious and needs treatment before anything is done, and I mean anything.

Hair transplant does not pose a risk to increasing or decreasing blood pressure. Having a history of blood pressure is safe for hair transplant

we have many clients with high blood pressure who have done hair transplant. It is very safe and successful. 

If blood pressure is controlled, having a hair transplant is medically safe. The blood pressure should be monitored and hair restoration can be completed by a well trained and competent hair transplant surgeon.

People with high blood pressure on medications frequently have hair transplants. IF the blood pressure gets out of control, the doctor should be able to manage it, although this is very rare