You can change the direction the water swirls down in your sink by rotating the water in either direction. Coriolis doesn't really affect such small bodies of water.
More influenced by subtleties such as direction the water was introduced from or structure shape of the basin.
Haven't tried it, have you? I have as a kid, on both continents/hemispheres (numerous relatives in Oz).
If the basin is smaller or round(ish), then yes, you can absolutely dictate the direction the water swirls down the drain.
In a standard oblong bathtub, the results were interesting:
I'd swirl the water in a full bathtub furiously, just before pulling the plug to drain it, and the water WOULD start draining while swirling in the direction I'd chosen, but the oblong shape doesn't maintain the rotation of the water in the full bathtub for very long.
Midway through the bathtub draining, the swirling
whirlpool would often change directions if I'd started the swirl in the opposite direction. It was fascinating, because the sound of it changed too.
When it's swirling in a whirlpool, the 'funnel' that results, seems to allow airflow, and the water drains with a steady whoosh, but when it changed swirl directions, that funnel would collapse, the tub would 'blub', and go 'glug, glug, glug', before it reestablished the swirling in the native direction, and began draining smoothly again.
If I initiated the swirl/whirlpool in the correct direction for the respective hemisphere, the funnel never collapsed (and I could put small floating toys in the tub, and watch them get sucked down by the maelstrom, which is why I did the swirling in the first place; to create a more pronounced whirlpool funnel when draining the tub, because the funnel/whirlpool fascinated me).