From a quick web search, it seems that the Easy VR module is UART based. So all you need to do is, assuming you're using webbotlib, learn to use UART from the webbot documentation. Put the easyVR module on the Axon (choose UART 2 or something. Remember that RX goes to TX and TX goes to RX, and GND is tied together.
Then it's the Axon that is storing the data, and it can send to the PC whenever you want it to over UART...1? (I can't remember which UART the USB is on the Axon :-P )
So yes, it's totally possible.