Is there a Wordpress e-commerce plug-in that links with LightSpeed POS?

Trying to set up a Wordpress e-commerce site for a client. They already have LightSpeed in-store for their POS. I’ve found a number of e-commerce plug-ins, but none seem to mention integration with an in-store POS.

Is there a plug-in that does this, or a way to make it happen with a specific plug-in? I’m leaning towards YAK, but I’m open to suggestions.

Thanks!