You cannot make locks on 1cm of hair no matter what your hair texture is. It’s just too short.
On afro textured hair, locs as short as 1-2 inches can be made, but usually people start a bit longer.
On straight and wavy hair, you need a minimum of 6 inches of hair to comfortably lock it yourself. If you go to a professional who can attach extensions to your locks, you can start with about 3 inches of hair- but this can only be done by a professional. It’s a tricky task.
So I’d suggest waiting. 1cm of hair is absolutely too short, unfortunately. Even with braiding in temporary synthetic locks, you need at least 2 inches of hair for the braids to stay in.