Yes.
Section 3679(c) of title 38 of United States Code (USC) defines the requirements of how the VA can disapprove a program based on criteria not followed that otherwise would qualify a veteran (thus defining a program to not be veteran friendly which no school wants slapped to their name). One of the biggest qualifying factors is the time-frame between military service and attending an Institute of Higher Learning (IHL).
Since you'll be fulfilling your obligation in 2022, then the rule states that a veteran who will live in the state where the IHL is located and enrolls within
three years of discharge (honorable discharge) then you automatically get the instate tuition rate regardless of the location of your hometown. This rule applies to all public-state institutes in the 50 states. You can always double check any IHL in where they stand by looking at the following:
Institution Search
On top of this, even some private IHLs will still give in-state rate as well as many others having Yellow Ribbon Program offers to make up the difference of costs beyond the in-state tuition fees (I'd look these up as some have a cap of applicants while others have no limit of qualifying veterans at private institutes).