No, wearing fake eyelashes is unlikely to cause your eyelids to droop significantly. Under eye bags and wrinkles can be permanently corrected with surgery or temporarily camouflaged with fillers (Restylane, Belotero, Volbella).There are great non-surgical options to fill in under eye depressions and hollowness. Using dermal fillers, a liquid eye-lift can be performed. A dermal filler such as Restylane would be placed in the cheek and tear trough to hide the depression or bag underneath your eye. Surgery would require a fat-repositioning lower lid blepharoplasty. In this surgical procedure, fat from the eye area is moved into the tear trough depression filling the actual depression. I hope this helps!