Dave,
It's done all the time. I would go to the expedition trailer forum on Expedition Portal to find a LOT of people in the same boat and what they put together for long term use. These are some creative people. That forum is the all-time best off-road trailer forum anywhere.
The only thing to worry about is, how far off the beaten path are you going? If extreme, then you want the trailer to have a lot of clearance, big wheels and tires, a H.D. frame and suspension, not the usual wimpy trailer frame and definitely not standard, off the shelf trailer springs. See below. If you just need some storage for things you use in the outback, a suitable 'jeep' style trailer would be good. Back in my hard core jeep dayz, I had a series of small, tough jeep trailers to haul the stuff that would not fit in the rig. This is the current one:

It's a 1955 David Bradley sold by Sears and Roebuck. This one is the choice after you cannot find a reasonable M-100 or M-714 actual military jeep trailer. I use a pintel with this one and two others I owned. Clanky stone age tech, but bomb proof. How proof is bomb proof? Glad you asked. The DD manual for the destruction before the enemy of the M-100 and M-714 trailers is a thick document describing how many hand grenades it takes to disable one.

This is a 1968 M-714 used by the Navy with our SOA and pintel on my CJ-8: It will actually float if you get in deep enough water.

Here are a couple JTTT's: one is a converted M-714 and the other is a special:

A very rare 1967 Con Fer Toyota Land Cruiser jeep trailer with matching 6 lug hubs and track width. It had 4 gas can racks, and hinged locking waterproof lids. The best of the 5 'jeep' trailers I owned.

The only woe was they used regular trailer springs of which the mainspring took a dump join the middle of nowhere: The mainspring is hanging down. Snapped at the centering bolt. Ironwood and bailing wire did not work well as a mainspring replacement. No centering hole. Yes, that's me in 1975 when I had a lot more testosterone. Vizciano Desert in Baja: 90 miles west of Guererro Negro.

I had a couple others with no pix.
If you get an enclosed utility trailer, which may be your best option, be sure it has a rather wide track. Why? So you can see it in your mirrors while backing. Those real narrow ones disappear from view until it's too late to recover. Why? short swing base: hitch over tongue to axle. I would advise against getting more trailer than you need. On a narrow track with no place to turn around, it will be a long day or night backing the thing for a long distance. The good thing about a jeep trailer is you can back it into almost any spot with no worries to turn on the wye and go back the way you came.
jefe