Your water tank has at least three openings/connections. One is the outlet at the bottom that feeds into the pump. The second is the inlet for filling it, probably near the top but not essentially so. The third is the vent from the top of the tank. There may be an additional drain connection, too (if not, the drain is tee'd off the outlet), and possibly an overflow to prevent overfilling the tank—though the overflow could just be through the vent line.
There are a couple of different filler setups that are used. Some use a gravity fill, where the inlet for filling just goes straight to the tank. Others use the same external connection for city water hookup and for tank filling, with a fill valve to run the water into the tank. If you have the latter setup, your proposal probably won't work because there would be no vent for the tank as there's an anti-backflow one way valve at the city water inlet.
If you have the combined inlet and also a winterize suction line input, you likely can fill the tank using the pump already by setting the valves etc. for winterizing and opening the tank fill valve. If you don't have a winterizing setup, what you're proposing to install could very easily encompass one if you give it a bit of care. (You need to be able to switch the pump suction from the trailer tank to the external source independently of switching its output around for it to work for winterizing.)
As a general matter, I wouldn't suggest filling via the vent line. The tanks are not designed to be used under pressure, and should you forget to otherwise vent it, there's the possibility (but not necessarily a likelihood) of rupturing the tank or causing a leak.