You could do it that way but it's probably a waste of time, just go to your local PD, pick up the application, take the required training class and submit proof of the class completion with your appplication, fees and fingerprints. Then start the "waiting game", some towns are quicker than others, Windsor for example will get you your permit within about 2 weeks, others can drag it out a lot longer, either way if you wait for your eligibility certificate you are waiting about an extra 8 weeks. Unfortunatly we are at the mercy of the issuing authority, after 8 weeks you can start to "push the issue" by appealing to the Board, complaining to a higher authority in the PD, calling your state Represetrative and/or Senator but most towns will still drag their feet getting it to you, I just had a student from Southington, took him almost 18 weeks. Anyway, the sooner you get your application in the sooner you will get a decision on your permit.....Good Luck!!!