There are a few 'touch' mice out there with tap for 3rd button (e.g. Arc Mouse) and capacitive scroll. But I haven't seen any that have tap-to-click for left and right button functions (like on a trackpad). Most seem to use mechanical switches.
(The Samsung SMT-7000B might have tap for primary click, but I can't even tell)
If interested, I have finger fatigue (RSI), but a touchpad is not a great solution for me.