Can I download updates from another computer and then transfer it?

I actually came across the same problem and tried to do this. It will not work unless you have enough hard drive space on your notebook to download the ENTIRE game. You can not simply download sections in a safe, non shady way. (You probably can download a single update from a shady website where you will get a virus.)

If you do end up downloading the entire thing, you could probably transfer by either swapping hard drives (A lot of work) or transferring the files by connecting the notebook to your pc via usb. USB tends to be slow so it may not be faster than your home WiFi. The easiest way would probably be to buy a pcie hard drive and swap it back and forth. It would be hard to swap but the quickest way.

I actually thought about this solution but decided it wasn’t worth the effort even though I had a pcie hard drive.