Maybe............................but the AC system has 2 pressure switches, a low pressure and a high pressure switch
These both have to be closed for compressor clutch to stay engaged
In 1997 the AC control in the cab sends 12volts to the low pressure switch, which then passes the 12volts to the high pressure switch which then passes the 12volts to the compressor clutch relay that powers on the clutch
Cab control(12v)-----------------switch-------------switch---------------relay---------clutch
The clutch is engaging so at rest both switches are closed, but just after clutch activation one may be opening, may be the lower pressure switch if freon is low, but could be high pressure if there is a blockage in the system
AND..............the clutch itself may be bad, not uncommon on Fords, the clutch is basically an electro-magnet, the 12volts causes it to become a magnet and pull the clutch plate in to spin compressor, there is an "air gap" that needs to be close enough to allow the magnet it pull in and hold the plate but not too close or it will rub on the spinning plate
If gap is too wide plate will pull in and then release
Google: Ford AC air gap