Yes. You can pay with your Troika or bank card by placing it against a turnstile at the boarding station when travelling to the airport or when boarding at the Belorussky Rail Terminal, as well as when leaving the airport. The total amount to be withdrawn is 450 roubles, which is equal to the Aeroexpress standard fare.
When travelling from the airport, place your Troika or bank card against a turnstile at the airport. To change to an MCD train at the Belorussky Rail Terminal, you need to place your card again against the validator located at the Aeroexpress exit gates when leaving the platform where the Aeroexpress train arrives. After that, enter the platform through the MCD turnstiles using the same card, and place it against the reader again when leaving the train at the required MCD station. The total amount to be withdrawn is also 450 roubles.