Exchanging key material between HSMs of different manufacturers
No, there's no standardized way to exchange key material between HSM (and often not even between HSM of the same manufacturer, although manufacturers may provide a backup/restore or replication capability that works at least within the same model). As far as an HSM is concerned, the world is divided in two: inside and outside. What is outside is not trusted. From the point of view of HSM1, HSM2 is outside and therefore not trusted, so HSM1 won't give up its keys to HSM2.
Assuming that you keep a single copy of the wrapped application keys (plus their identical backups), both HSM need to have the same wrapping key. Either create that key outside the HSM and import it to both, or create that key inside one HSM, export it, and import it into the other HSM. After import, make sure to switch the key attributes to be non-exportable.
Even with a single HSM, you would need to have a copy of the wrapping key outside the HSM for backup purposes. This copy (or more precisely all the backup copies) must of course be stored securely. Depending on your security requirements, this could be a piece of paper stored in a safe, or key shares where several company officers are responsible for securing their own shares and K shares among N are necessary to reconstruct the key. As far as I know, there's no standard way to create these key shares, but one HSM may have this as a proprietary featue.