Is it possible to calculate maximum switching frequency of IGBT having only datasheet in hands?
You presumably want to know the maximum switching frequency for switching a specific level of current with a specific cooling arrangement. Knowing the maximum switching frequency for switching minimal current can be determined using the switching times would not be of much use.
To properly apply the device, you need to determine the power loss due to switching and the power loss due to carrying current. You then need to determine how to cool the device sufficiently to maintain the junction temperatures within safe limits. To do that, you need to know the behavior of the load current, current vs time for each junction including the diode junctions.
For any practical purpose, the answer is no. You can not determine the maximum switching frequency using just the data sheet. You must analyze the behavior of the load and the cooling system.