I sincerely doubt that, at least not officially and en mass.
When they decided to challenge WB they planned weeks for the encounter, assembled most of their strongest fighters and all of this went down on Marineford, their HQ. This was just for one Yonkou and you can hardly say that everything went smooth and that final result was that beneficial for them.
So they really are not going to send an army to a country that does not belong to the WG, of which the geography alone makes it incredibly hard to access, that has been under the control of a Yonkou for two decades and which currently hosts a 2nd Yonkou on top of several Supernova's.
Kadou's name alone was enough to even make CP-0 grovel, so they're really not going to risk resources and manpower by haphazardly sending an expedition to Wano. BM and Kaidou are both extremely powerful and above all highly erratic and that's what scares them: they can't predict what's going to happen and for the marines the results could be catastrophic. Flipping a coin probably has better odds...
That said I do see it happen that some individuals might try to influence the events from the shadows. We know CP-0 is already moving behind the scenes and I doubt they are glad with the current state of affaires, especially after their last conversation with Orochi. So they might seize an opportunity when it presents them, but the chances are slim they would publicly take the initiative.