if it's dark, or you like black looking like not black. Yes.
You should probably find a way to cover those windows so that it's dark in that room, if you were to use a projector, which thankfully, isn't very hard.
This is one of the downsides of having a projector, the darkest black that you can get, is based on the darkness of the environment you're in. Which can lead to contrast issues sometimes, but if you good light regulation, it's fine.