No, it’s not possible. Now, I’m no expert on the subject, so this is just my personal opinion, but from my understanding of how things work it’s not possible.
Hypothetically you could, but you would run in to some very serious problems. For example, the sperm you harvest would contain the DNA of the donors, and that frozen/stored DNA would be unchanging. In effect, you would be putting a stop to evolution.
As time passes, some batches would run out, or be destroyed in disasters, further limiting the diversity of the DNA. Obviously you could breed more males when needed, but they would be several generations behind the female DNA. Eventually, you would see speciation, and the sperm would no longer work as females eventually evolve in to a different species than the males of today.
Again, I’m not an expert, but the more I think about it the more problems I think of that you would need to overcome.
* How long until there is speciation?
* How long until you see feemales refusing to use sperm from certain batches?
* How long until the entire human race had DNA so similar that any one virus could kill everyone?
I could go on asking more and more questions, probably more than we have answers for, and even if we answer all the questions, there is always the unexpected.