There are arrows on both sides of the bridge pointing up, which would seem to reinforce this… if you could come back down the bridge, I’d assume there would be a down arrow at the top of the bridge, but they both point up.
If you went on the path on the left that just ends, I guess you could be screwed, depending on how fast the screen is scrolling, or maybe you have just enough time to get over there, pick up some item and then make it over to the bridge in time.
If you find it interesting, there seem to be some similar games in development, although it is perhaps a bit early to tell how similar (or how good) they’ll turn out to be:
Rue Valley
Travelling at Night
Esoteric Ebb
And, of course, there’s Planescape: Torment, though that is a more traditional cRPG and right now I’m not certain if the Enhanced Edition added options to tone down combat in favor of just the story and writing. But our new AI overlord thinks so: