I wouldn't say it's common but yes people do it. It's obviously better to have a high spec laptop due to the portability and only needing one machine but if you can't afford that then yeah take the PC.
That said the uni computers where I am would put most gaming PCs to shame when it comes to work (8 core 16 thread Xeon workstations with Quadros and 144hz screens, or i7 4770 all in ones, then there's the VR and flight sim kit as well, the latter of which is fairly accessible for other uses).