Yes, I put a Sturmey Archer AW on my 1971 Super Sport, about 25 years ago. Assuming you are talking about the older SA hubs like what I used, you would need to have the longer of the two axle choices, 6 1/4", and could probably get away with just adding spacers to the axle and not altering the frame, but it would be better to respace the frame. I did respace mine from 120mm to 115mm. You should also have the HMW494 antirotation axle washers made for the wider dropout slots on derailer bikes.

On the other hand if you are using a new SA hub, current specifications on their website say they are available with a 118.8mm OLD which should be close enough to 120 without any modification.

I never heard of a 3-speed Paramount.