If you are asking if you can take nutrients out of their original bottles to put them into a cooler instead so you can just push a button to empty them into a cup, I don't see that harming anything. Moving liquid from one container to another should be fine.
If you're asking if you can pre-mix multiple nutrients in concentration and then store that - I would probably look online for some information on the nutrients you have and if they can be mixed in concentrate in the first place. I would imagine the concentration of salts might cause some issue if you mix them together and leave it, I would avoid it tbh.