printable circuit board?

I'm looking to make a small device that will take 5V power from a USB power source and charge a 3.7v lithium battery with at least several hundred mA of current.. For that, I would need a circuit board that regulates the voltage and switches off the current when the battery is fully charged.

I'd like to try and get all the required circuitry to as close to 1mm in thickness as possible.

I am aware that pcbs can get as thin as 0.15mm. I'm curious as to what a realistic thickness would be with a charge controller IC attached as someone has told me that that would be the limiting factor.

Is http://www.mouser.com/ProductDetail/Fairchild-Semi... a charge controller? It doesn't seem like they get really thick.

Thanks.