It will take at least TWO clicks since there could be multiple CSYS's in both the new Component and the Assembly so you will have to indicate/select the desired CSYS in BOTH the new Component as well as the Assembly. If that's acceptable (and there is no other choice) then yes, just use the 'Touch Align' Type constraint and select, as indicated above, the desired CSYS's.
There is a way to assemble parts in one click. If the component you are adding has a saved assembly constraint, then it will actually be one click - you will only need to pick up one CSYS.
Assembly > Component Position > Remember Assembly Constraints.