Companies definitely hire Part-Timers, you just need to look around. In the bay area there are many ambulance companies. Refer to the search section of this forum to get started with your applications.
Santa Clara County requires the following:
Prior to working a unit - ICS 100, SEMS, NIMS (IS700a)
Within 6 months - AWR160, SCC EMS Orientation
Within 1 year - IS-3, IS-704
Required in 2013 - HAZMAT FRO (county offers free classes throughout 2012)
This is straight off the handout I just...