Yes,
as long as you stay with the appropriate action length (2-digit model= short, 3-digit model = long) the stocks are interchangable.
the savage centerfire actions that do not easily switch stocks are,
the "J-series" which was a weird short lived "mid-length" action. and isn't common enough to really worry about.
Any model that uses a third bedding screw, such as the Muzzleloaders, and F-class single shots (12 F-class, and 12 F/TR)