I have a 02 Mercury 60 HP that has no power to ignition the power trim works so I know it is not a fuse also if I jump the starter it will turn over but will not start when you turn the key.
There is a safety switch that may be bad. It prevents people from starting in gear and it is usually located in the control box. It could be stuck or gone bad.
Gee, first test is to turn the key to start, and wiggle the throttle lever back and forth. If she starts to crank, maybe the shift cable is mis-adjusted.