Not long term, no, but it may cause short term spikes. I haven't seen any conclusive date to suggest energy drinks cause long term problems, although I am aware there is quite a bit of concern over these drinks at the moment.
Sometimes despite lifestyle and dietary changes, blood pressure remains high as some people have genetics factors too. Have secondary problems such as kidney
issues been excluded?
If lifestyle changes fail to lower your BP, and your BP is within treatment range, anti-hypertensive medication
is the only other option.