Can Chameleons write spells in spellbook?

[DarkEternal]

I'm gonna enter the Chameleon class soon enough(going from Factotum). The character managed to obtain a few arcane spells on his journeys, but then it got me thinking. Can he, in his arcane focus even write those things down in a spellbook like a wizard would? It says he usually uses stolen spell books or something. I bought an empty spellbook early on in my career, knowing that I'll go into Chameleon. Did I miss it somewhere where it says he has no problems writing stuff down, or is he doomed in using spells that he "obtains" from others?

[Psyren]

I would say yes, because Rules Compendium opened up the spellbook copying process from just wizards to "spellcasters who use spellbooks." While a Chameleon has Arcane Focus active, they would thus qualify.