I don't think the box truck can make the curve without damaging your landscaping or sending a tire off the driveway which is probably going to sink in. I had a driveway like that once and did about the same with a 24' moving box truck. I eventually got it to the top but not without significant ruts and I got the fuel tank about 1" from severely denting it as the truck sank into the soft dirt outside the concrete.
A refrigerator 2 wheeled truck, just used by itself, is possible but whoever is doing the moving is going to get tired out and that's going to be a problem. A group of people could do the job with some wedges to chock the wheels at various points to take rest breaks. But its going to be a workout for all involved.
If you do decide to lay it down for any reason you are going to need a very strong person doing most of the work. Multiple people can help but the problem is they can't get close enough to it to all share the load. The motor + compressor head makes it very top heavy and that means the 2 wheels are not carrying that part of the load.
The way I would approach this using my own equipment and working alone, is to use the 2 wheel appliance truck to lay it down in a pickup truck bed to then ascend the hill. I would find a 1" ratchet strap and fish it down between the box and the cab and hook it solidly to the truck frame. Then take the other end and adjust the length to use the hook to "catch" one of the looped tubular handles of the appliance truck as the handles lean against the lowered tailgate at the balance-point. Then with it hooked and balanced in this position, go around and lift up the axle until everything is horizontal and slide it into the truck bed. This is the easiest part, as the base of the compressor is relatively lightweight, and the heavy motor and compressor assemblies are being supported by the tailgate. Much better when there is a plastic bedliner but if not you can use a mover's blanket or piece of cardboard to reduce friction. Use same length of the strap and technique to unload it. The first time out, its good to have a couple of helpers to help brace and balance the appliance truck and hook up the ratchet strap so you don't make a mistake and drop it. If you have a truck that's lifted or giant tires this won't work. You want an old school pickup truck (think 70s, 80s, 90s) designed for actual work where people had to constantly load things in and out of it and thus valued the lowest bed-height possible.
Ideally the compressor oil wouldn't be filled because its likely to start running out in the horizontal position.
Its possible a person could use a pallet jack to "tow" the pallet uphill at a creep speed to avoid bouncing over the pavers. Plenty of extra ratchet straps to make sure the compressor doesn't tip over and make sure the pallet doesn't slide back and start digging into the roller wheels. I'd use an independent safety chain just in case something broke.
Absolute luxury: rent a forklift and use it to drive the shipping pallet uphill. Use overhead rigging (usually under the motor and compressor bracket) to lift it off the pallet and place in final position.