Under the Qi specification, "low power" for inductive transfer means a draw of 0 to 5 W. Systems that fall within the scope of this standard are those that use inductive coupling between two planar coils to transfer power from the power transmitter to the power receiver. The distance between the two coils is typically 5 mm. It is possible to extend that range to at least 40 mm.
How you extend teh range from 5mm to 4cm I don't know. I don't believe wood would block the signal much.