No. Lighter fluid can be a reasonable fuel, but the oxidizer is the issue. Either you use liquid oxygen (very cold, explosive, generally dangerous) or something nasty like nitric acid or MMH that will eat your flesh for lunch.
Given the altitudes involved, I would suggest that small jet/turbine engines meant for model aircraft would be more useful. They wouldn't need oxidizer.
What I'm not sure about is whether it's safe to get (small amounts of) LOX spilled on your hand (LN2 is safe, my hands still work and the teacher didn't complain in like 2012 (between 2008 and 2015, but I can't guarantee anything tighter)).
Yes, LOX is cold. So what? Just look at, say, [0] for information on what materials you can use for the LOX parts. Just use a simple pressurized tank configuration. Small amounts (sub-kg) of LOX only really restrict you from certain surfaces, such as asphalt, due to the risk of LOX spilling into the ground and turning it explosive.
Otherwise it's arguably safer than everything except maybe 30% peroxide/aluminium in a hybrid rocket.
[0]: https://ntrs.nasa.gov/archive/nasa/casi.ntrs.nasa.gov/197600...
The vacuum ISP of a N2O monopropellant is given on Wikipedia as up to 180s, but the cartridge weight drops that to 48s. One could be chilled with dry ice to a vapor pressure of 2bar, but it's still far from easy to handle when weight is a substantial issue and you want to dynamically control flow, I'd figure.
Making a tank that's light enough to fly but does not turn into a pipe bomb is _one_ of the hard parts. Also, ignition is and fueling is difficult. iirc Tripoli requires remote fill on hybrid rockets and since a lot of these experimental engines are flown in the desert at FAR (https://friendsofamateurrocketry.org/) temp. becomes an issue.
people are doing it though, i mean it's really impressive to see how far amateurs can push things. We may see the first individual reach the Karman Line this September at BALLS if Covid19 doesn't get in the way. A couple of college teams have done it but not just a random guy. Granted, the guy I'm betting on is very well known in the hobby and not "random" at all.
Ya, well see what happens when you load it into a model rocket beside some kerosene. Then attach some electronics. Whether oxygen can technically burn or not is moot. There will be fire.
Also, fire != explosion. The former is only hot, the latter has a tendency to throw shrapnel.
They were just squirting compressed liquefied N2O in to their motors, but were talking about the possibility of throttling by adding a controllable valve.
You don't see many flights though but there's plenty of test footage. I think one main reason for lack of flights is that Tripoli and NAR ( the two main self-governing bodies for high power rocketry ) currently do not insure bi-propellant rockets at their events. Another reason, is configuring the engine for flight is complicated because of the tanks and pressurization required. It seems like most amateurs run out of effort or money once they have a working injector, combustion chamber, and nozzle. The last mile ( tanks and pressurization ) seem to be out of reach mostly.
btw, if anyone has an engine they want to fly I will happily build you an airframe! :)