How can i get mole removal done through excision without anesthesia?

Sure: However, depends on size, extent of excision, location, & your ability to remain still. If you are referring to general anesthesia, then yes for sure this probably will not be required. Local anesthesia is usually used, & is also helpful with keeping you comfortable throughout. Even the best intentioned patients can not help to have a natural reaction to withdraw from pain. Emla (lidocaine and prilocaine) patch at least.

Yes: Though it depends on the location of the mole. Most people would prefer some local to numb up the area before incision.