Hookah smoking is usually done with deep lung hits. It's inhaling the same chemicals and nicotine as analogs, but cooling the smoke down through water (some argue it's actually more dangerous than analog smoke). As both a former smoker and hookah user, people usually get lightheaded from the lack of oxygen in their blood stream. When you breathe in that smoke, your lungs have a difficult time filtering it out and absorbing oxygen. As a result of that, the blood going to your brain is deprived of oxygen, and you get light headed. You may also get a "buzz" from nicotine with both analogs and hookah (You absorb nicotine through your mouth too, so that may be what's happening if you aren't inhaling vapor smoke). (This usually involves a variety of side affects that you can look up elsewhere.)
Vaping is a nicotine delivery system that does not use combustion in the same way as either hookah or smoking analogs. You are not inhaling smoke. That being said, if you switch over to a higher nicotine level, you may get the nicotine buzz. (Forewarning that e-cigs are an imperfect delivery system and the effects take MUCH longer to manifest than analogs or hookah nicotine would. You may also make yourself nic sick because you aren't used to it, but that's up to you.) You will probably never find a way to get that lightheaded feeling because you ARE NOT clogging your lungs with smoke. Your body is still absorbing oxygen in normal amounts and the blood is still carrying oxygen to your brain. You'd have better luck looking into asphyxiation as a way to get your lightheadedness because that is what you are doing with analogs and hookah versus vaping.
TL;DR
If you are looking for a nicotine buzz, vaping can do that. If you are looking for that lightheaded feeling, it's not going to do that. The calm feeling you get with hookah may just be because you are essentially doing breathing exercises that they teach people for anxiety. Breathe in slowly, hold, breathe out slowly. . .though low amounts of nicotine have also been reported to have this affect on people.