Yes. You can also just run a jumper wire from the starters hot wire(fat one) to the solenoid terminal(flat plug that the small wire was connected to). That is essentially doing the same thing. I usually just use a screw driver to bridge the two, but a wire would be easier. Again, make sure you listen to Muckman's warning and make sure the car is not in gear.
As for the clutch switch, aka neutral safety switch, you can unplug it and bridge the wires together... Actually, I can't remember if the wires are suppose to be bridged(closed circuit) or unbridged(open circuit) for the car to be able to start. Maybe someone else can remember. Bridged makes more sense though, otherwise just unplugging it would remove the need to use it.
Edit: Yeah you could rig up a push button starter as a temporary solution, but I personally wouldn't want to use it for very long. I had one on my accord, because sometimes the key wouldn't turn the car on and I grew tired of pushing it. It is simple, you just need a heavy duty push button switch from kragen or autozone and run a wire from + battery terminal to the switch and from the switch to the solenoid. Use it as a temp solution though.