In fact, any edged weapon can be used for thrusting (hence why they require a thursting tip). However, you'll find in SOLAR combat it is generally more effective to swing swords and daggers than thrust with them.
Almost. You can't thrust with an axe. ;P Anything with a pokey tip on the end is thrustable. You can't thrust with blunt weapons, including staff, nor can you thrust with an axe. Spears, polearms, swords of all descriptions, and daggers are all thrust-worthy. Just be aware that thrusting puts a lot more force behind your swing than a typical swing, and most thrusts tend to hit people in the gut. Which hurts, so ease up on 'em.