Yes you can apply. Of course it will almost likely (not always) promptly get denied because you have demonstrated immigration intent (via the F2A) which is not allowed on B-2 visas.
Many people (including some I know) with pending immigration visa applications travel with nonimmigrant visas. After all some immigration petitions take years to adjudicate. Usually though, the visas were obtained prior to filing the immigrant petition.
However the burden on proof is on you to convince a consular officer that they will not use the nonimmigrant visa to bypass the line and illegally immigrate. The crucial thing is to be able to show that yes you have immigrant intent, but not on this trip and also you intend to do it the right way via the F2A. Very tough.