Edited: credit to PabloUK85 and SEEPAGEix, who both confirmed you have to enable Adaptive Controller Mode in the settings first in order to use the
buttons for movement.
Use a microphone in each controller, select any store in Easy street, I did the Arcade. DON'T TOUCH THE TRIGGERS, simply use the
button on one controller and the
button on the other to move and finish the level.
If you touch the trigger at any point a red line will appear through the gold microphone icon in the top right of the screen, and it will turn black. If this happens restart the level and try again.
Edit: Iggsy81 said he got the achievement using one headphone? Not sure if it works, happy for someone to verify this. If you don't have two headphones, use a mobile phone earbuds with a mic instead, the microphone still picks up sound.