NO. Get a test light or meter on the ballast while cranking and/or in the run position on the ignition switch.
you can completely bypass the ballast by hooking the wires together for a test. it's not going to hurt anything in 5 or 10 minutes it takes to eliminate this as a problem. i tried to read what you have for an ign. system but got confused with the side trips taken. chrome box, stock coil?
