Linux Lite can work in live session, or with installation to hard disk, however you prefer.
The LL and driver can be installed to the hard disk, or installed to a USB made with persistence.
Or temporarily to a USB Live not made using persistence settings.
After installing the driver and everything working with wifi, if you made a Live USB without persistence settings then on your live usb go to -
Menu>System>Systemback
here at the right hand side of GUI you can make an "Live System Create", if you have more than 1 USB port, you leave the Live USB without persistence settings in the port, in the other port insert next USB
make a Live system it will include "as is your system" including the wifi driver.
Test this out and ensure your OS and wifi are working, this then become your new Live USB and with the driver installed, and any settings you made like changing wallpaper.
Alternatively you can download the .deb file of the driver using another computer/phone, then insert that media into your offline HP Stream and use it to install the driver.
eg; using phone download, then to add otg cable, or use a shim, and insert usb stick at the phone save it, then insert that usb into HP save it. Do it the d/l using a free wifi spot and it wont cost you data charges.
Be sure you save the "Live system create" to the empty USB or you will wipe your current live usb.
The LL and driver can be installed to the hard disk, or installed to a USB made with persistence.
Or temporarily to a USB Live not made using persistence settings.
After installing the driver and everything working with wifi, if you made a Live USB without persistence settings then on your live usb go to -
Menu>System>Systemback
here at the right hand side of GUI you can make an "Live System Create", if you have more than 1 USB port, you leave the Live USB without persistence settings in the port, in the other port insert next USB
make a Live system it will include "as is your system" including the wifi driver.
Test this out and ensure your OS and wifi are working, this then become your new Live USB and with the driver installed, and any settings you made like changing wallpaper.
Alternatively you can download the .deb file of the driver using another computer/phone, then insert that media into your offline HP Stream and use it to install the driver.
eg; using phone download, then to add otg cable, or use a shim, and insert usb stick at the phone save it, then insert that usb into HP save it. Do it the d/l using a free wifi spot and it wont cost you data charges.
Be sure you save the "Live system create" to the empty USB or you will wipe your current live usb.