Can you reverse the strings on a fender starcaster guitar from right handed to left handed?

Answer 1

Yes,

But you'll most likely need a new set of strings because of the positions of the machine heads, for example the low E string most likely be cut to fit the low E tuning peg and wont be long enough to reach the high E tuning peg (the position the low E string will need to sit when the guitar is strung left handed).

Also the 'nut' at the top of the fretboard will need to be removed rotated 180 degrees and re-inserted to allow the thicker strings to sit where the thinner strings used to sit (you could possibly skip this but it could cause your guitar intonation to sound a bit out because the strings wont fit in the grooves properly, some will be a bit too high at the nut and some will be a bit too low).

The bridge intonation will also need to be adjusted and if you want to use a strap you'll need to move the strap button from the upper horn to the lower horn. The guitar tends to feel really unbalanced when using the strap after moving the strap button and wont sit as nicely in the playing position. Also consider that moving the strap button will require you to drill a screw into the lower horn which will leave a hole if you ever decide to switch the guitar back to right handed.

If you know what you're doing you could quite easily do it yourself. New strings and bridge intonation are pretty straight forward. Rotating the nut and moving the strap button are a bit of a pain. But if you're left handed and can't afford a lefty guitar, it might be your only option.