Can a human get spayed?
There'd be another word for it though.
Are you supposed to get your dog spayed in India because over there the dogs are just walking around on the streets?
Female cats go into heat at the end of their estrus cycle (the feline equivalent of a human female menstrual cycle). When a female cat is spayed they undergo a hysterectomy essentially where the uterus is removed. So to answer the question, no, the only way to stop a female cat from going into heat is to have her spayed.
The hymen is a structure found in the human vagina; it is a remnant of the fusion between the internal reproductive organs and the involution of the external surface to create an opening. This structure is generally not found in dogs whether she has been spayed or not. The spay surgery (an ovariohysterectomy) would have very little impact on a hymen, since the vagina is not manipulated during the surgery.