If my Ipad came without 3g can it be added

No. It's a hardwired, not modular device. HOw it is is how it'll be.

What you can do to add 3G later is to consider a device like Verizon's Mifi (and there are others by other carriers as well)

it's a battery operated wifi hotspot that you can use to connect your iPad to to get cellular data service. Some smart phones also have the ability to emit a 'hot spot' signal, so if you have the right kind of phone and plan you can also get 3G on your iPad that way.

Hi.

That decision was made when the device was purchased, your wifi only device cannot be converted to a 3G/cellular/wifi device.

Sorry