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Not easily. The latest switch feature often come in shades of grey, where even software version can make a difference. For example, the 2960-S was only L2, now I believe the later IOS images support basic routing, i.e. statics or as a stub.
On the 3560/3750 switches, what kind of L3 dynamic routing varies on the feature set. Base version supports statics, EIGRP stub (?) and RIP, I believe. Services added full dynamic routing, e.g. EIGRP and OSPF, although you used to need Advanced Services for BGP, but BGP was added into the later IOS Services version.
