My cat has just had kittens 2 days ago and today she has moved them to a different place but isn't staying with them is that normal

There is no one good answer to this question. Could be a number of things. Having mom and kittens checked by a vet may be your best bet. In any event someone has to care for them, you may have to be that one. It is a difficult task, but kittens are tiny and won't do well unattended. At least call your local vet and ask their advice.
Godd Luck

Does she feed them? it is normal to move there place, and if your cat doesn't stays with your kittens then she's excatly like my cat, my cat didn't even feed them