Garage slab on grade leaks. Slab is actually under the grade by 8" it has been dug out and wrapped with a membrane re-graded and sodded. However, it continues to leak in the spring run off and during heavy rain.
Can the building be lifted and a curb poured and the building set back down ? If so how?
Garage is finished in stuco.

You could try digging a trench around the building and putting in a 4" black PVC slotted drainpipe surrounded with 1 or 2" size gravel. If it's a lot of water I would just throw the dirt to the outside of the trench away from the building like a little levee and fill the whole dug trench with the gravel not put any dirt back in. The pipe outlet drains away from the building or could be connected to a dry well.

You'd be better off lowering the grade so it is not above the slab and doing what wildandblue suggests with a perimeter drain. Lifting and adding a curb would be expensive and difficult.

You see guys on TV who can move a lighthouse or old barn, giant factory. So, anything can be moved but will it be cost effective, in your case its not. I am not sure why your garage was built so much below grade, that was a mistake for sure but combining both suggestions above would do a great job for you.

I agree with the perimeter drain but to lessen the debris that might get into a slot, use a perforated 6 inch flexible drain, place similar to a french drain with the pipe and about three inches of stone under and three inches of stone over the drain. Holes (perforations) go down so as the water rises 4 or 5 inches, it is carried away by the pipe. Outlet should be solid pipe with a screen on the end to prevent rodents from moving in and plugging the pipe.

Garage slab on grade leaks. Slab is actualy under the grade by 8" it has been dug out and wrapped with a membrane re-graded and sodded. However, it continues to leak in the spring run off and during heavy rain.
Can the building be lifted and a curb poured and the building set back down ? If so how?
Garage is finished in stuco.
Regrade around the garage slab so that the grade slopes 6" in 10'-0" away from the garage slab. Or provide a swale around garage at same 5% grade. This should be the least expensive way to solve your problem and to keep the water at bay.