Definitely. And that should be your first choice. Dermatologists excel in removing skin tags from even sensitive areas such as eyelids. So you should always seek professional methods for skin tag removal. Sure many people try home remedies to remove skin tags, and they do work too in a lot of the cases. The major issue is that if you have skin tags in sensitive areas, it can cause more harm than good. Especially in delicate areas of your body such as eyelids, private parts etc.
It does cost more money if you want to remove skin tags for cosmetic reasons only because insurance companies don't cover this procedure. But its definitely worth it than trying home remedies on your eyes and catching a severe eye infection. If you're a woman reading this, you know what mascaras do at times (and they're generally safer). So don't risk it.
If you happen to have skin tags in other body parts like arms, legs, chest, back etc. You can give some home remedies or OTC products a try. Such as Aven Buzz Skin Tag Remover Pen.