You could only achieve this on a shit chain such as BSV's...
So you admit that you can't do something on bitcoin so that must mean that bsv has some kind of utility.
It depends how long you want to wait and how much you are willing to pay. With empty mempool, 4 MB per 10 minutes is quite slow transfer, so to push 4 GB video, it would take at least 1000 blocks, so about a week. Also, assuming one satoshi per stored byte, it would cost 0.01 BTC per megabyte, so around 40 BTC for storing that with the lowest fees.
That means to store a home video would cost 1 million dollars on the bitcoin blockchain. I wonder if satoshi ever imagined that!