Again, not to "scold" you, but please do not even think about getting another bearded dragon right now. First of all, you cannot house 2 healthy bearded dragons together, they are solitary animals, and when you house more than 1 together, one of two things always happens: #1) They become very aggressive and physically fight, attacking each other or one attacking the other, and one bite to the skull usually ends it, or they lose legs, eyes, tails, etc. So obviously a paralyzed beardie in pain cannot handle this...or #2) more commonly, one dragon takes the dominant role immediately and the other the submissive, in this case the injured dragon would definitely be the submissive, and they basically become highly stressed 24 hours a day, all day long, and have to compete for everything from food to the best temperature spots to the strongest UVB spots, etc. He isn't lonely, they want to live alone, they live completely alone in the wild, coming together only to mate, then separate.
In addition to that, and I'm not trying to be critical here, but if you cannot afford to take the beardie you have to a vet after he breaks his spine and is suffering, then getting another dragon probably isn't the best idea. That being said, it's been 2 weeks since his accident, he most likely does have a fractured spine (and possibly a severed spinal cord), as if it was just soft tissue swelling it would have improved drastically by now.
By not taking to a reptile vet, you've probably eliminated any chance he had for a full recovery, assuming it was only a spinal fracture and not a spinal cord tear. Had he gotten an x-ray right away and a fracture of the spine was seen, the reptile vet could have set the spine to relieve the pressure of the broken bone pushing on the spinal cord, which would have eliminated most if not all of the paralysis. Now even if it is just a spinal fracture that could have been put into traction and reversed, his spinal cord has been compressed far too long and he likely will not ever be able to walk again. And this is forgetting that no matter what is wrong with him, he's had to have been in horrible pain for the weeks since this happened. That's what's really killing me, I can't imagine breaking my spine and not even getting any pain medication, let alone having the fracture set or put into traction to relieve the neurological damage. This is just a really bad situation, as Knobbys has already said. Again, I don't mean to be rude or hurt your feelings, actually my heart does go out to both of you, but there comes a time when you need to make a very hard decision because you know it's the correct decision for your pet.
If I were you, if you cannot get him to a certified reptile vet by tomorrow, as this is still an emergency and any reptile vet will get him him ASAP once you tell them what's happened and how long ago it did happen, then I think you need to consider surrendering him to a proper reptile rescue that can take him to their certified reptile vet on the spot and either get him the medical help that he needs, or make a decision on how to proceed, based on his imaging test results and the nerve conduction tests they would run. I have worked for a very reputable and certified reptile and bird rescue for years, and I can find the closest certified reptile rescue to you with one phone call, and I can also make arrangements for the rescue to pick him up if you don't have transportation, they will drive to get a dragon in this situation, even if they are hours away. And I can also get them to waive their surrender-fee/donation that they usually require for you too. This is a very difficult decision that you're going to have to make, as he is suffering greatly and has been this entire time, whether you can see it or not, how could he not be with a broken spine that has caused paralysis...I am more than willing to do everything I can to help you out, all you have to do is PM me and tell me where you're located, and I'll get on the phone immediately.