No, it is not possible to measure the one-way speed of light using unsynchronized clocks alone. The measurement of the one-way speed of light is a complex task that requires careful synchronization and coordination between the clocks involved.
The fundamental issue with using unsynchronized clocks is that you cannot accurately determine the time it takes for a signal to travel between the clocks. When measuring the one-way speed of light, you need to precisely measure the time it takes for light to travel from one point to another without any round-trip measurement.
To measure the one-way speed of light, you would typically employ a method called the "two-way" or "round-trip" measurement. This method involves sending a light signal from a source to a distant location and then reflecting it back to the source. By comparing the round-trip time of the light signal with the known distance between the two points, you can calculate the average speed of light over that distance.
Synchronizing the clocks is crucial in this process to accurately measure the round-trip time. By synchronizing the clocks at both ends, you can determine the time taken for the round trip and calculate the average speed of light.
However, if the clocks are not synchronized, you would not have a reliable means of measuring the time accurately. Without accurate timing, it is impossible to determine the one-way speed of light using only unsynchronized clocks.
It's important to note that the constancy of the speed of light is a fundamental principle in physics, as described by Einstein's theory of relativity. The one-way speed of light is always considered to be constant and is defined as approximately 299,792,458 meters per second in a vacuum.