No. You can only send/receive to/from Apple devices as they use iMessage and your connected email address(es) to accomplish this. The iPad mini does not know your cell phone's number- it just knows your Me/iCloud account. Also note that, physical limitations aside, even with a sim and a "phone number" for your iPad mini, you can not send/receive texts/calls because you would only have a data plan through your wireless carrier.
From apple community forums.