No, you would usually tune to the same tuning and, if anything, high tension strings would work better for lower than standard tuning.
High tension generally gives better volume and nicer tone, though if you go too far you can actually reverse that and "pinch" the volume off.
High tension also feels more precise - with standard tension strings on a short scale like a soprano the strings sometimes "catch" my fingers.
Generally sustain is improved and the notes ring better with higher tension strings - though again if you go too far that is reversed.
I wouldn't recommend high tension strings for a beginner unless they are coming from playing some other stringed instrument like a steel-string guitar.
John