Yes, Jetpack Sharing has an option to show the Sharing buttons on the WooCommerce Single Product page. But this does not mean your template is compatible with that! If you have ticked “products” and JetPack Sharing buttons are not showing, you can use this simple snippet.
1. Tick “products” under Settings / Sharing
WooCommerce: enable sharing buttons on product page
2. If sharing buttons don’t appear on the product pages, add this PHP snippet
// add Jetpack sharing on the right of the product image
add_action('woocommerce_single_product_summary','addshare', 40);
function addshare(){
echo sharing_display();
}