Generally yes, unless the dies in question are for a dillon square deal, as those are proprietary.
I have lee and rcbs shellholders, lee, rcbs, redding, and hornady dies, and use them all.
Everyone has their favorite color.

For rifle dies mine are the light green, the dark green, and the red ones without the shellholder in the set.

For pistol most all of those are the red ones, that come with a shellholder.