None of us could possibly know that answer, because many sober people also get high BP, and lots of factors come into play, like genetics, overall health, etc...
That said, alcohol can certainly cause high blood pressure, and you can google that on your own very easily, and at reliable sources. Alcohol consumption, at a high and habitual level can cause many health problems, like liver disease, skin problems, digestive issues.
When you think of all of that, it seems crazy to drink, doesn't it?
I am not a gold star member here at SR, but can say, that during my longest sober stretch I saw huge improvements to my physical health. Improved bloodwork, controlled diabetes, borderline BP down to normal, etc... Much less anxiety too.
Stay with it and I think you will feel much better.
Also, talk to your Dr. about possible side effects of your meds and your vomiting. They could be unrelated and you should get that looked at. It is quite possible your nausea and vomiting could be withdrawal as well, and you may need medical attention for that as well.