Is it possible to install drivers on an SSD drive that is connected via USB to a laptop?

Question

linux

Is it possible to install drivers on an SSD drive that is connected to a laptop via USB?
Ubuntu 14+ is installed on the SSD drive, as well as on the hard drive that is currently on the laptop, the difference is that the wi-fi drivers are only on the disk that is in the laptop. And unfortunately there is no way to connect and update via cable.
broadcom corporation bcm43142
Advise on solutions..

Answer 1

Download debki and install after reboot is not an option?
apt-get install [drivername] -d on a system with a network dpkg -i [ mountpoint
]/var/cache/apt/archives/[drivername].deb on the second
need.
Is it possible to install using chroot, I don’t understand, I don’t have enough experience.