Is there a cure for recurring abscess in the groin? can it be terminated forever ?

Yes with surgery: Sounds like hidradinitis suppurativa. Yes, that can be cured by excising the involved area. See a good plastic surgeon or general surgeon in your area who has an interest is such conditions.

Yes: If it a simple abscess, it should be able to be excised after the acute infection resolves. It may represent a condition called hidradenitis suppurativa, a chronic infection that occurs in the groin and armpits. This generally needs to be completely removed surgically and the defect either skin grafted, allowed to heal on its own, or closed with local healthy tissue.