Can I mix and match cogs from 2 different SRAM cassettes and still expect it to work? My road bike currently has a 12-25 cassette on it.  I really want the cog with 11 teeth instead of the cog with 12 teeth, but I don't want to upgrade to a full 11-32.  If I were to install a new 12-25 cassette on by bike, but replaced the 12 tooth cog with a 11 tooth cog (effectively creating a franken-cassette) would it still work?  Or are the cogs in a cassette not made to be mixed and matched like this?

It's assumed that both of these cassettes would be general SRAM cassettes, but I'm not talking about cassettes like the XG-1190 that have "compatibility notices".

And as a follow up question, would I need to re-calibrate the shifting mechanism after having created this "franken-cassette"?   The number of cogs would effectively remain the same, so I'm hoping not.
absolutely, I do it all the time. just make sure they are sequential. (ie. 11t 13t, 14t etc)