Absolutely, just as gadelhas says, connect your pic to the module and start transmitting data to it, you should be able to see it on your Android running a terminal emulator. My favourite is Blueterm, also downloadable from the playstore.

Even before you involve a pic, I'd suggest you just power up the module, short its Tx and Rx, and pair it with your Android running blueterm. If all is well, whatever characters you punch in should be echoed.

Regards,

Anand