You might be able to use it, if it has the proper regulator on it. If the air/co2 is not regulated, you run the risk of having a very dangerous outcome. Most blow-back markers run at 600-850 psi. From what little I know, carbonation units run at 5-30 psi, nowhere near enough to run even a low pressure electro.
Co2 bottles are actually measured by their weight, and not pressure. It's HPA that is measured in psi. Personally I would stick to a bottle designed for paintball, and that comes with the proper regulator. As has been mentioned, HPA and CO2 are very dangerous things to play with, so if we seem overly cautious it's because there is a very good reason.
For carbonation you will need to use CO2, and a 3000 psi HPA bottle probably won't work for that. You'll need to use a bottle for CO2, and a special regulator. Check out Palmers Pursuit's web catalogue here for one. Just scroll down the page a bit and you'll see it.has anyone plugged a 3000psi paintball bottle onto their sodastream and made a carbonated drink with it?
Just a reminder, (as this cannot be stressed enough) that HPA and CO2 are dangerous and can kill, please take care when working with them.