Can nj still file my taxes?

Sorry, but NJ doesn't "do" your taxes. You have been paying taxes to NJ because that's the state where you lived and worked previously. But now you are a GA resident, and consequently you pay GA income tax instead of NJ income tax. Not a big deal. The only thing to keep straight is that in the year you move you are a part-year resident of NJ and a part-year resident of GA, so you have to file part-year returns with both states. Then the following year you can forget about having to file an NJ tax return at all.

However, if your employer is NJ-based, you MUST make sure that they do NOT withhold NJ income taxes, but rather Georgia income taxes.

Otherwise, you will have to file a NJ tax return to get a total refund, then turn around to pay the Georgia income taxes for which you ARE legally liable.