>>511024724 (OP)If you are with a lady then yes, obviously.
The man walks on the right, the woman on the left (so that you may unsheate your estoc/rapier if some criminal might appear), the woman holds the man's left arm at the elbow, embracing his arm (because it's cute and evinces kindness and love). They each walk at a steady pace, not to discomfort the other.