Yes, which is what I would presume GOG Galaxy automatically does for you. Manually copying stuff around or spending time setting things up hardly offers the “hey, this is convenient” factor! That’s just what we’ve always done. 
What I mean is something like http://www.synctocloud.net/screenshots/ which comes up within a few seconds of searching.
NB I haven’t tested it.
PS Broken Age comes with built-in Dropbox support. A bit limited in that it’s Dropbox-dependent, but I did use it.
They played it on GT Live.
