Is it Possible to have high cholesterol without having hypertension?

So yeah is it possible to have high cholesterol without suffering from hypertension? I ask it because hypothetically speaking your heart would have to work harder if you have veins clogged by cholesterol. If this is true if you have high cholesterol you will suffer from hypertension. Again this is just an hypothesis, im not sure and would like to know how this works. Any info is greatly appreciated! =[) THX!