Well, sort of.
This is a brute force and ignorance approach. Use the replicators and transmutation to assemble a launch vehicle. I'd use diamondoid for the armor, with as much reflective material as possible on the under body. The crew pod would likely need a fluid medium in order to keep from being brutally pulped.
Then, build a launch gun underneath to throw 2 ball bearing size fuel spheres underneath the craft. Multiple inversion beams would then be used to convert one fuel sphere to antimatter.
Repeat several times a second.
Not responsible for environmental degradation.
Well, sort of.
Ooh, that's a good variation on lightcraft and ablative laser propulsion. Using inversion beams will help to cut down on the energy requirement. The gamma ray discharge will definitely be a problem, but if you shape the bottom of the vehicle correctly, you'll only need to protect your launch site and not the surrounding environment.
Say something like:
with one of the fuel spheres being converted shortly after leaving the _ and then meeting its counterpart
I still wouldn't want to be near the launch site, and I sure wouldn't want to try to fly intercept on it. That could get nasty.
Actually, this is a common and much-respected idea for getting cargo into the black. The problem is that a human crew, or anything that might be destroyed by sharp and sudden changes in G forces, won't be able to use this mechanism since the transfer from 0 to escape velocity would be nearly instantaneous.
Incidentally, you don't need diamondoid per se. A graphite-sheathed lead plate with a thickness of a couple meters will easily shield against the forces of a nuclear detonation, so upscale it a bit.
I would actually propose a slight alteration to make this more feasable - rather than trying to go from zero to boom in one go, use a single boom of smaller proportions and then feed a stream of fuel into the detonation… say, mercury. The mercury reaction will produce further propulsion which will get the ship into orbit. In this way, you go from zero to gone in a much more reasonable (i.e. longer) time frame.
Well, aside from the contribution of radioactive mercury isotopes to the local atmosphere, that would work. Perhaps using water instead of mercury for the gradation? Or a variety of fuel sphere sizes in order to moderate the thrust? With that, you could get away from rather elaborate accleration compensators (or just using big aquarium of hyperoxygenated liquid) and have more room for fuel or cargo.
Point on the variable fuel types, I mostly presented mercury as that would be the major workhorse for interplanetary travel. On the flip side, using multiple fuels would require multiple containment systems and variable input channel thrust valves for propulsion. Sort of a balance, there.
The problem is that a human crew, or anything that might be destroyed by sharp and sudden changes in G forces…
Sorry, you are assuming discrete explosions (such as provided by nuclear bombs) where there is no need to. Imagine a beam of matter passing through the inversion field and colliding with a beam of unconverted matter. For all effective purposes it is a continual explosion in the reaction chamber => continual thrust and no bake and shake.