Of course you can! (And you were worried, right?)

Courtesy Electronic Design mag:

[Design Briefs]
Measure Nanoseconds With A PIC Microcontroller

Jeffrey L. Rothman, Richard Michta
ED Online ID #5649
September 1, 2003

"Based on a PIC16F887 MCU, this circuit described measures pulse lengths from 2 to 950 ns with a 1-ns resolution."

http://www.elecdesign.com/Articles/A...5649/5649.html