How to DIY a anti static bracelet or ground oneself?
A wall is not very conductive, so it would achieve nothing.
And the point is not that you are at the same potential as the water tap is, the point is that you are in the same potential as your laptop, so that touching it does not cause a static electricity discharge.
So if you want to connect wires, it would be better to connect a wire between you and some exposed metal part on your laptop, such as the chassis of an USB connector. To limit rate of discharge and for electrical safety, generally there is a 1 megaohm resistor in the path, so the wire is not directly connected.