Probably not on a one to one basis; you can probably get the flavour, but different editions would have different formulas and optimizations.
I did a conversion for the Samurai class Heavy Patrol Cruiser as an experiment, and am told it's under consideration for the next Journal, the deckplans to be laid out by a third party.
As an example, I wouldn't have designed a thirty tonne fighter Viper class fighter/bomber/dropship under Mongoose Second rules, I would have increased it to thirty five.