@ Jeremy, I don't think. Normally, it is difficult to ignite and when it does, it has a tendency to burn very slowly without any smoke or flame. Toxic gases will form upon combustion. It is better to use them in the laboratory to purify solutions of organic molecules containing unwanted colored organic impurities.
@ Jeremy, it can be because activated carbon is known as good absorbents, catalyst support, and energy storage materials. Microwave heating is a promising technique for thermochemical treatment and activation of activated carbons because of its fast, uniform and volumetric heating.
Activated carbon is obtained by extracting the volatiles through possibly oxidative thermal pyrolysis as in a gasification system or pyrolysis by providing external heat. It is not simply biochar, but has several other specific properties making it a very important industrial product. It has many important uses in water purification, pharmaceuticals and others.
I suspect the question may have been wrongly posed. Activated carbon is a consequence of "combustion" like process too important to further "burn"!