It's a pretty extensive hardware setup. More than you'd want to create in your garage, for example. Multiple server racks. It would depend how quickly you want the information. But you could probably rent the server power required.
How deep you go down this rabbit hole also changes things quite a bit. If we're just talking some simple statistical cross referencing that you determine, it's probably relatively simple, and likely already being done by some franchises. What I'm suggesting would take significantly more work, in that you're training the computer to arrive at new conclusions, not only the conclusions you've input as desired.
So in a perfect system, the computer starts to recognize, independently, "Oh hey, players from league X with Y reach and Z points per game are performing above average for their draft position." That might seem simple, but what a computer can do is quickly run evaluations if these kinds of findings are statistically significant. One area that sports stats seems to lag behind science, and often due to sample sizes and lack of rigor, is checking for significance. Only then can you know if something is within variance. And for a human to sit down and run all these checks for every, tiny, little, piece of data... would be overwhelming. In the example above you have 3 points of data cross referenced with every prospect in every league with all known data. That's a lot. But imagine if you could find some kind of significance in 16 points of data. That's the level of insight you'd be hard pressed to have any human be able to sort.
It seems crazy to me NHL teams aren't developing these tools, or if they are, they are keeping it quiet. Of course, we read only a few years ago that Babcock and Holland only partially look at advanced stats (which I can be critical of due to the aforementioned lack of rigor). If they barely take those into account, what are the odds they'd dump millions in resources developing cutting edge statistical algorithms? It will take a team being a thought leader, and having success, before the old boys catch up.
This is all a fun thought experiment. I only brought it up because I know for a fact this will revolutionize medical diagnoses, so... why not sports projections?