There's an old saying that goes something like:
one down in the front = 3 up in the rear
At any rate - yes, you can drop from 13t to 12t on the front and use the same chain assuming you're in stock trim now.
It will fubar your stock speedo readings. It will show faster than you're really going.
Your top speed will decrease by somewhere around 5 mph.
You will notice a more torquey grunt lower down in the rev range.
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2008 WR250X
Gearing: 13t - 48t
Power Commander 5 / PC-V
Airbox Door Removed - Flapper glued - AIS removed
FmF Q4
Bridgestone Battlax BT-003rs