I almost go to a local gym everyday.
I go to a local gym almost everyday.
To me, sentence #2 is correct. I just want to know if it is correct to put the word 'almost' before the verb 'go'.
It is grammatical, but your two sentences mean two different things.
The first means you
almost got to the gym, as if you got to the parking lot, and gave up and turned around, while the second means you go to the gym Monday-Friday, so not every day, but almost every day.