Welcome to Pakwheels and the Vitz owners/fan club!
I am guessing you got a B package, the B package Vitz does not come with keyless entry.
But, if your Vitz did come with keyless entry. It might have been lost by someone. If it has the keyless entry option a good locksmith can make you a new re-programmed key. The blank key costs 3K and re-programming won't cost you more than 3-5K.
Your Vitz already has central locking, what you are referring to is 'keyless entry'.