Are you kidding me ? I can buy a cap ship , buy 4.00 armor and make it JUST to kill that person.It works both ways!
Um ... no ... that's called OORP when you swap from a trade ship into your capship to seek revenge. Try it ... I'd love to file the report just to let you know how wrong it is. Now ... what would be in RP is to hire a mercenary (not your own by the way ... that's been tried) to hunt a pirate down for you. But please ... do not swap out of your trader to seek revenge in something bigger.
EDIT: I said mercenary ... bounty hunters would work too ... but seems most bounty hunters are in the largest ship purchasable. Like a bounty hunter can really afford a ship larger than most military vessels.