In this situation, are you allowed to enter the intersection before the red signal lights turn on?

In the video you are driving along a street in town behind a red car and approaching a junction with traffic lights; the traffic lights above and beside the roadway show an amber signal, and you are still quite a long way from the traffic lights. You are not allowed to enter the junction before the red light comes on - an amber light is a ban on entry, unless you could no longer stop safely. The answer is: no.

The Regulation on road signs and signals states that an amber signal means a ban on driving beyond the traffic lights, unless, at the moment this signal comes on, the vehicle is so close to the traffic lights that it cannot be stopped before them without sudden braking; this signal also means that the red signal will come on in a moment. Amber is a warning, not an invitation to speed up - entering "at the last moment" often ends with driving through on red. Since you are far away and can brake smoothly, you stop before the stop line, and if there is none - before the traffic lights; entering on amber would be justified only for a vehicle just in front of the lights that could not stop without sudden braking - but even that vehicle does not speed up, it just keeps going.

Legal basis: § 95 para. 1 point 2 and § 99 para. 1 of the Regulation on road signs and signals; Art. 19 para. 2 point 2 of the Road Traffic Act (Prawo o ruchu drogowym)