Are my eyes too far apart? (Photo)

The primary problem is your eyelid muscle is loose and causing you to look sleepy, and the eyes don't open all the way. Correction of this will be the primary way to improve your eye area. As for your original question about the eyes being too far apart, this can be improved by raising the bridge of the nose so that there is less empty space between the eyes. (However, you are not that far apart; typically, the distance between the two eyes should be one eye-length apart).

However, I think the heavy upper eyelid caused by ptosis exaggerate the effect.  Moving the orbits is basically so hard it is impossible.  Fixing the ptosis is much more straight forward. You need an aesthetic ptosis surgery.  It is certainly possible that your surgery may be covered by health insurance but you might decide to self-pay to get a more cosmetic result. The American Society for Ophthalmic Plastic and Reconstructive Surgery maintains a regional directory on their website that can help you find a highly qualified eyelid plastic surgeon. 

 No, your eyes are not too far apart.  From the 1 limited photograph, it appears that you may have ptosis present in both eyelids.  This is best treated by an oculoplastic surgeon.  There is nothing that can be done to move the eyes closer together in the bony eye sockets.