Yes, so long as it has the amperage to do so.
The starter will crank the engine over but it won't run.
Need to know what year it is, engine size
Ford rated the engine at 240 HP at the crank @ 4000 RPM.
It's a left hand thread. Crank to the right.
If the truck has a V 8 engine their is none , these engines still have a distributor located in the front of the engine.
your crank sensor has absolutly nothing to do with the ability of the engine turning over. I would look at the wiring to the starter.
It's on the back of the engine, right side, right where the engine and transmission bolt together.
under the coil pack rr of engine block
it is stamped on the crankshaft. Clean it up and look at it.
Up in the front of the engine where the timing cover is on the right side of it this will be the cam sensor it does not have a crank sensor.
"Crank" meaning the starter doesn't crank the engine over to start it, changing the engine oil should have nothing to do with it not starting. If the battery was weak and something was left on, it may have run the battery down. Also check the engine oil level to be sure they put new oil back in or possibly left the drain plug loose and the oil drained out. If the engine was run with no oil in it, it could have seized the engine and it wouldn't crank over, in which case the engine is ruined.
On the engine block, passenger side, close to the oil pan. It is best reached from underneath.