Yes, airplanes were used in the civil war, by both Bolsheviks, anti-Bolsheviks, and the Allied intervention forces. The majority of the old Imperial Russian Air Service machines, and their pilots, were located in Bolshevik territory and thus fought with the Red Army. The Whites in Siberia and South Russia also had their own, smaller, air services.

Probably the most effective flyers of the Russian Civil War were the British pilots who aided General Denikin's Volunteer Army in South Russia. Though meant to be nothing more than "combat advisers", a number of British fighter squadrons provided support for the Volunteers. They proved incredibly useful in the ground attack role, especially in the vast steppes when Denikin was advancing towards Moscow in 1919. For a vivid, if over-dramatized firsthand account, see A. Orrmont's and M. Aten's The Last Train Over Rostov Bridge.

Source: Jonathon Smele, The Russian Revolution and Civil War: an Annotated Bibliography