Thanks to farmers, you can find out the nutrients profiles with a tiny bit of research.
When it comes to if it will grow hydroponically, the answer is yes, but the question is which method is best. You may not be able to get a certain plant to handle DWC, but it loves NFT or F&D. Research into how best to grow a certain plant may be hard to find because there are small companies that are trying to get everything to grow with hydroponic systems and they aren't always open about their discoveries. So if you can't find information from hobbiest forums or public information, you will just have to fuck around and find out.
I can tell you that watermelon does ok in DWC. I suspect that they would shine in F&D but I never got around to trying it out.