There is no direct mechanical connection between the HVAC controls and the heater assembly. The controls are all electrical, with the various doors and valves operated by servo motors. There is one mechanical push-pull cable ("cable, water valve control," part #79544-S9A-A00, labeled #15 in illustration below) that connects to the temperature motor (79160-S5D-A01, labeled #13 below), so maybe that's what your mechanic was talking about. It's part of the heater unit under the dash.
Whether you should attempt this repair yourself depends on your level of experience. The Honda service manual has explicit instructions for accessing this unit.

Whether you should attempt this repair yourself depends on your level of experience. The Honda service manual has explicit instructions for accessing this unit.
