1999 Ford F-150

Cam sensor won't cause a no start. Crank sensor on that model will.

You stated fuel pump runs, only for 2 seconds or while cranking?

By my guess then you are getting a crank signal.

If a v-8 jumped timing, you would have heard a lot of noise as the timing chains are a interference fit on that motor. However 20 years of those triton motors and I hadn't really seen one jump YET!

Check for fire by removing a coil, up ending it, pulling a plug out, inserting into the coil and have someone turn it over while you look at it. Back to basics of fuel, fire or compression. And unless you aren't getting any fuel (a fuel gauge I think can be rented from some of the national auto parts chains). You may have a sparking issue

Also, look at the theft light. Is it solid on, comes on and goes off, or does it blink?

If the theft light is blinking, it will never start. Undo all the connections on a bracket near the battery, undo them clean them out with electrical cleaner at the auto parts store and dry and reassemble and see if it fixes it. Have seen that happen in the past as you describe.

If not, will have to diagnosed at a shop as it usually takes a pro level tool to retrieve codes from the cluster (this is the computer that holds the PATs system on this model) and to go from there