HPC/ADAS/Computer science fag here.
The answer is not only no, but hell no.
To simulate reality at a high enough resolution to be useful would require a machine so large and vast first, it would need to be built in space around or in orbit of a solar object. The resources required are also immense, but could be accomplished with robotics.
The data storage of such a machine would need something on the order of 400 exabytes for human intelligence, and 40 zettabytes (projected) for our data; about 1050 cubic meters, based on a 1TB/in^2 professed theoretical maximum for hard drives. We'll consider doubling size of human intelligence for the animal kingdom, putting us at about 1060.
Then you would need space to store all of the physical things like plants, animals, vehicles, mountains, oceans, fault lines, continents, etc.
This is where the problem is, as these all have high randomness and are also not very compressible at all. If this could be compressed to 1% of its current size it would give us about 10 billion cubic kilometers just for the data storage.
Then you have the problems of powering such a monster, and the associated heat dissipation issues. So lets say we build it as solar ring for power and have fins out the back to radiate the heat.
This is all very possible for some kind of super advanced civilization, but it is not the problem.
You simply cannot build a computer that can run faster than its own reality. Thus, it simply cannot run in real time.
You would have to observe it for an extremely long time. What do you do in the first 5 billion years of your simulation running while life develops? It will take hundreds of billions of years by your perspective.