Nope. Won’t happen.
To get invited to a 15, you need to have at least half the dungeons cleared on 14 and other half on 13 - all timed and some ++. Anything lower than that is unlikely, unless you are 226 with 10/10M progression.
Only other way to do it with no IO is with the group of friends or a guild, implying you are raiding and got at least 210.
It is not the question whether or not you can time it with 200 — you could. But why would a pug leader invite you with 200, no IO over someone who has solid IO and better gear? There is competition for slots.