Yes. Once the aircraft moves under its own power with the intention of flight, all of the time, until the aircraft lands and is parked at the destination, counts as flight time.

In the eyes of the FAA and most global aviation authorities, "flight time" (often called block time) begins when an aircraft moves under its own power for the purpose of flight and ends when it comes to rest after landing. This means that ground taxi time is included in a pilot's logged flight time. However, there is a distinction between "flight time" and "air time"—the latter only counts the duration the aircraft is actually off the ground. For commercial pilots, their duty limits and pay are often tied to block time, meaning the time spent taxiing from the gate to the runway is "billable" experience. Interestingly, if an aircraft is stuck on the tarmac for de-icing or waiting for a gate, that time generally continues to accrue toward the pilot's legal flight time limits, which is why long ground delays can sometimes cause a crew to "time out" and become legally unable to complete their assigned journey.