*looks over to the broken handle on his bench and wonders if he should even reply.
Funny enough I just made a handle and it broke right away. Thats the price for not paying attention because the desire for curly maple takes over.
The tools I use are the same simple tools that are often filtered into the pack.
The chances of having all of them are 0. I might have a file, but not a pattern maker's rasp. I have thought about it but never carry a drill bit or gimlet.
The helving vids say you cannot knock the handle out from top to bottom. You certainly can by removing the wedge. _what the gimlet is for. It's just easier to drive the sawn off handle from the bottom. One vid shows a very nice manufactured swage. The same is easily whittled from suitable wood. with a rock hammer or baton you can drive the handle out.
If it is still stuck,, assuming you have such time, soak the head in water allow it to swell. use fire to dry the wood without overheating the edge. Should be more loose; easier to drive handle out.
If you have no saw you could burn the handle without the head in the fire close enough to the eye to drive it through with your wood swedge.
You have no saw to rip the tenon for its wedge. Okay, continue fitting the helve to the eye. Hopefully you are skilled enough to make it tight. you may back the handle out with your swage at anytime to work the wood without damaging your knife edge on the axe lug. Continue until the helve protrudes above the eye a little. Add a few drops of water to the end grain, let it soak in briefly to soften the tips of the fibers. Hopefully you have a rock, smooth river stone is better- A bit gently, carefully "peen" the end grain until you're done
Even though there is all caution and warning against it...if the helve is fitted with full contact friction fit ( as much as possible) the head is unlikely to fly off by surprise if you watch for it slipping. Most axes I have seen have very little taper in the eye-it does not take much for the wedge to work afterall.
So if you can get it really tight the axe can perform more than adequately in the short term with no wedge(s). An emergency could be so great that even fitting a tomahawk handle is impossible. It all depends on the details of your circumstance whether there is time to make an axe handle. There is nothing mysterious about it