Upper Bleph Without Fat Removal? (photo)

Yes bleharoplasty can be performed without removing fat. Your picture demonstrates you would brnefit with a small amount of fat reduction medially. This is the art of eyelid surgery. 

Yes this can be done. But you also need to have less skin removal if u do not want a big change. 

The quick answer is yes, the procedure is commonly performed without fat removal. Your concern is easily treated. You can see from the answers that you have multiple other ancillary procedures suggested for you. Find a surgeon you can have an open discussion with and to review your options and expectations. Good luck.