Is it possible to wrap and export RSA private key in FIPS 140-2 Level 3 compliant hardware?

I would like to do the following on FIPS 140-3 Level 3 certified cryptographic token using PKCS#11:

1. 
   

   Generate RSA key pair on token

   
   


2. 
   

   Import AES key from multiple components

   
   


3. 
   

   Wrap and export RSA private key with AES key (PKCS#8) into file

   
   

I am trying to do it with a few FIPS 140-2 Level 3 cryptographic token with no success. I am getting CKR_DEVICE_ERROR.

So I am asking if it is possible to do that? Does the compliance of FIPS 140-2 Level 3 allow to wrap and export private key from token? Or it is just the matter of implementation of PKCS#11?