Some sources suggest that certain aftermarket modifications might disable them, but these are generally not recommended due to safety and potential warranty implications. Disabling DRLs is illegal in many jurisdictions.
Therefore, the only way to have your headlights *off* entirely when the ignition is on is to turn the headlights off with the headlight switch. This will turn off the DRLs and your headlights will not illuminate. Note that this compromises the safety benefit of DRLs and is potentially illegal.