Yes, IF the lifting motor, the hydraulic system and the lifting cables are all in good shape, you simply need to get battery-level power to the motor to lift the top. My concern is that it's been "neglected" for 10 years, so you likely have some problem areas in these components, and I would not expect the lifting cables to be sound. If one or more of these break when you are raising the top, it will cause more damage.
I would try to get the top up some other way besides using the lift system.The most "normal" way, is to use farm jacks, and then support the top when it is up by using 2x4s cut to length under the top to hold it in the up position. Alternatively, four semi-strong people should be able to lift the top if you don't use jacks.
Once the top is up, you can thoroughly inspect the cables and replace any that show ANY signs of fraying or rust. You would also have access to the battery and the lift motor and you could correct any problems with those that you find.
My guess is, since the camper has been sitting outside exposed to the elements for such a long time with no maintenance, you are going to find a great deal of deterioration. It CAN be restored, if you have the patience and ability to do it.
Hi-Lo 1707T - Tire Minder TPMS on Tow Vehicle and Trailer, 300W Solar Battery Charger, Equal-i-zer WDH
2014 F150 Platinum 4x4 3.5L EcoBoost SCrew