Im not a expert in this but i had a 2000 Chevy impala that just quit working one day with no signs of a bad fuel pump. So i think its possible. Try what this guy says seems like a good idea to see if your fuel pump is working.
http://www.ehow.com/video_4874555_troubleshooting-fuel-pump.html
http://www.ehow.com/video_4874555_troubleshooting-fuel-pump.html