Possibly, but if he had to look up bus timetables online, chances are he’d have bought a ticket at the same time and there’d be evidence of it.
Seems more likely to me that he just found a ticket that Mr Gold had planted, took it as a sign that he had a part to play, and went about figuring out how to get to the bus stop. If he lives in a town that no buses pass through and no one ever leaves, how was he to assume that it was his job to leave town and go somewhere else to get Emma? It’s not like the book said, “On her 28th birthday, Emma’s son will go find her to bring her back to break the curse.” He probably would have just assumed that it was destined to be, so she’d show up of her own accord. But if the bus ticket showed up, he’d have known it was his job to go get her.
PS. Gotta love that the convoluted answer is the one that seems more realistic to me, rather than the straightforward option. This show is good times. 😉