I was gaming several girls at the same time before I met my fiancee. I had a couple of them that were more platonic / text buddies for a while.
I kept them in the loop for social reasons AND to help gain experience in certain areas of my game.
I just kept being the coolest & most interesting guy she knew.
After a few weeks, one of them DID come around & start expressing interest & we ended up "dating" for a bit.
So yeah, just because things aren't starting out "hot & heavy" doesn't mean there's no chance.