It will be possible after the reconstruction of the railway overpass across the Pulkovskoye Highway, which will let buses going to the airport avoid traffic jams, as reported by the press service of the Northern Capital Gate LLC. The overpass is planned to be launched in 2022.
It should be noted that buses No. 39 and No. 39E run between the airport and the city. Their schedule can be viewed by clicking on the link https://pulkovoairport.ru/transport/bus/