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The push button on the end of my turn signal stalk sucks. The washer pump doesn't run unless I push hard on the button. My 95 Mustang had a similar problem.
try spraying some wd40 or other lubricant in there, lots of times junk gets in there and when the lub is applied it cleans it up and normally works.
Good luck
You dont say what year your truck is. My 99 F150 had a recall a few years back for the wiper switch. It would kick the wipers on for like one cycle out of the blue. Ford replaced the switch for free. Check the recalls section on here to see if it affects your truck.