Sure, you "can" have any number of technologies installed at the same time. I've got Lutron RA2, z-wave and zigbee (hue, etc) running all at once.
Now, where it gets tricky is controlling them all at the same time. Few automation tools are geared to support combinations of technologies, especially when it comes to overlapping solutions for lighting. I say few, but not none. Commercial products like CQC and Homeseer offer varying degrees of functionality that can span over different technologies. Those are not the only offerings, just two that come to mind for the question asked.
Let's back up and ask, what is it you're hoping to accomplish and what's led you to consider a solution using both?