I currently use Auctiva. Can this plugin import my products to WooCommerce?

Yes, the Import from eBay to WooCommerce add-on will migrate all your eBay listings to WooCommerce and WP-Lister, whether they were created using Auctiva, TurboLister or any other 3rd party listing tool. 

But please be aware of the fact that once you started using WP-Lister, you’ll have to stop using other listing tools to add new listings or modify existing ones. (see the related articles below)