If you consider issuing a contract to develop the capability to be "cleared to carry".I think you must be referring to the P8A there? Last I heard it had been cleared to carry LRASM, but that's about it. Could be a very serious anti-shipping platform if stacked to the gills with LRASMs...
The US Navy issued a contract in April to "design, develop, and test the software and ancillary hardware for integration of the missile onto the Boeing aircraft." That project is currently expected to be completed by Oct 2024.
So no, there is no capability for P-8 Poseidon aircraft to carry LRASM