Stray doesn't take up too much space. On this page of the guide, you will learn how much free space on the PC or PS4/PS5 console is required to install the game.
Disk space - PC
The PC version takes up about 10 GB of free disk space.
Disk space - PS4 and PS5
The PlayStation 4 and PlayStation 5 versions take up even less space. The installation should occupy about 7.5 GB on the disk.