Is it possible for me to get Hunter eyes? (photos)

I reviewed your photos. Yes it is possible to make your eyes more youthful (less tired). It may need upper eyelid ptosis surgery and/or lower eyelid retraction surgery. See an expert.

You have ptosis of both upper lids which can make you appear tired.  See an oculoplastic surgeon who can evaluate the eyelid muscles to determine what surgery would be best to elevate the eyelids.