The "Sensor box" where the shift linkage connects to the trans is the Neutral Safety Switch, or MLP(Manual Lever Position) sensor, in electrical terms. The MLP will NOT cause a no movement issue.
The trans does have bands...3 of them, in fact. IF the low band is broken(common), it could cause a no-go.
Bottom line is, if the trans has fluid, and the torque converter is still bolted to the engine, any cause for a no-go is going to require trans removal to repair, with the exception of a broken/stripped pump shaft, or damaged pump. Those two things can be repaired in car by a qualified technician.
One other idea that might cause this is if the manual valve linkage for the valve body has become dis-connected. Never actually seen that happen, but it is a possibility. I HAVE forgotten to connect it a time or two, tho...