Air taxi First Officer reported during taxi a truck crossed in front of the aircraft within 5-10 feet. Captain applied brakes to avoid a collision.

Narrative

Landed on runway XX. Taxied via 1 2 3 short of 4. ZZZ ground gave clearance [taxiways] 3 5 6 hold short of 7. On 5 ground contacted us to wait for Aircraft Y then we were cleared into the Alley. I (Pilot Monitoring) mentioned to the captain that our landing lights were on and the Captain turned them off to not blind Aircraft Y in front of us. Captain mistakenly turned off the avionics master on taxiway 6; I (Pilot Monitoring) was focusing on the radios and did not clear the right side of the VSR (Vehicle Service Road) during the turn. Captain cleared both sides of the alley after Aircraft Y taxied and started turning. During halfway through the turn a truck on the VSR from right to left started crossing and speeding up; we both became aware of the truck at the same time and the captain applied immediate brakes. Encounter between the truck and the nose of the aircraft is estimated 5-10 feet. We let the truck fully cross and continued taxiing in the alley. Incident was reported on ground frequency. Airport Authority arrived to receive our narratives and notified us that our taxi light was turned off during the incursion. No further incident.Cause: The truck speeding past us and accelerating on the VSR intersection of 7 and 6 taxiways. Also failure to have our taxi light on.Suggestions: Always keeping on our taxi light when taxiing and turning them on before moving and following proper light philosophy per company procedures. Also taking a moment to double check the vehicles on any VSR intersection with a taxiway.