Yes. Let's assume that the lenses in a scope will transmit all light they receive.
The 'maximum usable' exit pupil is 7mm. But the exit pupil is calculated by finding the ratio of the scope's fron lens size to the magnification of the scope.
So a 1X scope would really only need a 7mm lens in front. That isn't particularly practical, but you get the point.
If you wanted a 40X scope with all the light you could use, you would need a lens of 280mm. It sure would look funny
Next time you are at a gun store, ask to see a 6-24 or an 8-32 variable scope. Turning the dial, and looking at a dim corner, you should be able to see the scope picture getting dimmer as you increase power.