Not currently, but I expect you will eventually. It's still early days for the Quest home experience, and I imagine features similar to the Rift's home will be coming down the line, albeit in a cut down version within the limitations of the hardware.
It would be great if we'd be able to choose between more "wallpapers" for the world outside of Home room. Having snowy mountains for example, or summer sea. Hopefully we'll see something like that eventually.