Let's say I'm some Big Dumb Fighter wearing the heaviest armor you can possibly imagine, and my climb sucks, and I don't carry things like grappling hooks around. I fall into a pit, and I'd need to make a 20 on my dice roll just to climb upward.
Now, as part of my repertoire of weaponry, I carry javelins and some rope. The idea is to tie a length of rope to a javelin, and throw the javelin toward the ledge of the pit, and use the rope to climb upward, similar to that of a grappling hook.
Of course, the range for the javelins is limited; it has a 30 foot range, and a 40 foot pit, so I would normally suffer the -2 to throw, but I carry amentum with my javelins, which basically extends the range to 50 feet (but then becomes treated as a Martial weapon), meaning the range penalty is negated.
The question that I pose is as the title, and if it can be done, how would it be run in a strict-rules basis?
Since a grappling hook already works like a weapon, I'd assume using another throwing weapon would work, but with a -4 penalty to the roll for an improvised weapon, and the target AC would go up significantly unless there was a nice bit of scenery for it to become attached to/entangled in.
If the javelin was longer than the diamater of the pit, I would allow a player to attempt to throw it up and prop it as a crossbar from which his rope hangs. I don't believe a javelin thrown upwards could otherwise grip anything or sink into the ground far enough to hold a medium humanoid's weight.