It's actually a more interesting solution for doing things the other way around: have some kind of mining operation on the moon and use a "cannon" (most likely a rail gun) to accelerate payloads from the surface of the moon into Earth orbit or even down to the surface.

But yeah, even that one wouldn't be for squishy payloads such as people.

PS: That said somebody else is pointing out existing experiments were the object is accelerated around and around by a mass acellerator and then release at the appropriate speed, which might work for human payloads.