Does swapping a SIM card work?

In the movie 12 Rounds, the villain continually eludes police tracers by swapping out the SIM card in his cell phone.

Was wondering if that could really work.

NO, I’m not considering it for real-life, I’m writing a story and need a way to avoid being traced in a cell-phone conversation. Several times.

In case you’re interested, the story is here: http://www.associatedcontent.com/article/1926550/serial_scifi_novel_those_who_dwell.html

Feel free to read and comment. 🙂