Only if you do the following, which is basically a duplicate of the syslog you got, except as SNMP trap:

http://www.cisco.com/en/US/docs/security/pix/pix42/configuration/guide/pix42adv.html

"To receive security and failover SNMP traps from the PIX Firewall, compile the Cisco syslog MIB into your SNMP management application. If you do not compile the Cisco syslog MIB into your application, you only receive MIB-II traps for link up or down, and firewall cold and warm start."