Incredibly unlikely. At the current moment even 3 hours of movement/combat between 20 players results in log files of ~0.5 gb
Now there is a decent amount of it that also tracks data generated by the actions (and not actions themselves), however without it, due to RNG you will get different results (even with the same actions)
Unless blizzard decided to implement a truly monumental storage facility, i doubt they would do it (for all actions)
They do however store some of the actions, mainly with the intend of recovering items/etc.
Now there is a decent amount of it that also tracks data generated by the actions (and not actions themselves), however without it, due to RNG you will get different results (even with the same actions)
Unless blizzard decided to implement a truly monumental storage facility, i doubt they would do it (for all actions)
They do however store some of the actions, mainly with the intend of recovering items/etc.