Yes they do with the "dyanmic allocation" the parent comment mentions; VMware datastore has 1TB total, you put VMs in with dynamically expanding disks they are sharing the same 1TB of free space and will fill it if they all want their max space at the same time and you've overprovisioned their max space.
And if you haven't overprovisioned their max space, you may as well not be using dynamic allocation and use fixed size disks.
Even then, snapshots will grow forever and fill the space, and then you hope you have a "spacer.img" file you can delete from the datastore, because you can't remove snapshots when the disk is full and you're stuck. It's the same problem, at a lower level.