Absolutely you can!!!
Smoking involves combustion, fire, literal burning of tobacco products. When something burns, it produces smoke.
When you vape, you're producing vapor, not smoke.
So, yes! If you vape, you're a vaper! If you smoke, you're a smoker!
Simple as that, easy 'nuff.
Oops, forgot to address: yep, they can still sock it to you.