Possible, but I'd rather guess the problem here is that with this game, which looks like an older eroge from the early 2000s, you have to have the game CD inserted in the PC disk drive in order to play the game.
Naturally, you install the game with the CD inserted. But even when the game files are already installed in your PC, you still need the CD inside your PC to run the game.
So seems to be the case with earlier titles. With the proliferation of digital releases, this kind of problem is not to be seen anymore.
TL;DR A physical CD is required. Otherwise you'll have to wait until an eroge wizard creates a patch or so.