I assume you mean the Scenic Byway between Bryce and Torrey Utah. Not including your travel to the area and back home again, you need at a minimum 2 nights Zion, 1 night Bryce, 1night Torrey (Capitol Reef), 3 nights Moab for Arches and Canyonlands. This itinerary is usually done as a loop out of SLC.
Hi, Mike, welcome to the forums.
So yes, it is possible. Not necessarily recommended though due to the long driving distances.