It could, work but b/c it is used, you would need to disinfect it like crazy and get him used to it ahead of time
...bleach can't be used in the house but it can also leave behind chemical residue on the cage and on your skin (as can other non-avian-safe cleaners), so one solution is to let the cage sit in the sun after bleaching with an appropriate mixture of water+bleach and rinsing thoroughly (because the UV light will break down some of that chemical stuff that is left over, as long as the ratio isn't excessive, as long as you rinse/wash and as long as it sits in full sun for a few days) AND WEAR GLOVES.
The issue is, if you leave it outside for many days (as required) risk wild birds making it dirty again via poop etc. I am always nervous about buying used cages because some diseases are really hard to kill and it can be impossible for someone to tell whether a seemingly healthy bird has them without testing...but people DO buy used cages from time-to-time-- you just have to make sure that you know how to clean it... FYI bleach doesn't kill everything (at any strength) and MORE bleach can actually be less effective in some cases, depending on what you are trying to kill (so there is that issue too)..
On top of a solid and safe disinfectant plan, you also want to scrub etc....and do not re-use anything porous. Also-- certain cleaners (like bleach) lose their efficacy day by day after opening and within 24 hours of mixing with water-- so if you use bleach (with extreme caution, not in the house, with rinsing, at a good ratio, +sunlight) then make sure it is brand new.
Will you be camping in a tent or RV?