Can SIM card be locked to the specific equipment?

Can SIM card be locked to the specific equipment?

I'm curious if SIM card can be "personalized" to operate only in the specified mobile equipment in addition to usual PIN security. So the SIM extracted from "legitimate" phone and placed into arbitrary one won't reveal it's data.

I realize what SIM is JavaCard-based smartcard, so in theory this kind of mutual authentication might be possible.