In short Yes, in practice, Toshiba can cause a few problems with Wi-Fi & graphics drivers but with just a little help you can overcome this, be careful of which distribution you install, some are not built for beginners and can be a right pain to install on any kit, try to select one that comes with all the available non-free drivers
So if you have 4GiB RAM you can use any Linux distro from Zorin to Antix.
Zorin has a reputation for having everything working straight out of the box on default settings with a very professional look. Antix is a true lightweight with WM window managers but if you need Antix with a real desktop go for Loc-OS Linux.
You will find all the help you need right here on the best Linux forum