Yes, router tooling can be used to cut appropriate materials — so long as it doesn’t have a bearing or other non-cutting portion which might engage the stock and it is either able to plunge cut, or if unable to plunge is only used for toolpaths which take that into account
(usual case is a surfacing tool where the begin point for the cut is set to off the stock as when surfacing rough lumber)
For profile tooling, one example is discussed at:
That said, the usual approach for CNC is to think of toolpaths as “digital tooling” and use combinations of toolpaths, and if need be tooling to create a desired effect.