Quoting Tiger Lily ♥:" No. 36 is considered "full term" for many people, even though many disagree. I know women who have been electively induced at 36 weeks."
Because all I've ever known is 38 weeks to be term and 40 to be full term.
OP your hospital is probably equipped well to handle premies, otherwise I'm sure they would want to stop it. And if you did go into labour at 35 weeks, if you were adamant about them trying to stop your labour, they probably would. I know at my hospital they try to stop it until like 37 but if you go into labour before then and they can't they automatically transfer you to a bigger hospital with a NICU.