Yes, you can use Bundler to display bundle widgets on other websites (third party websites outside Shopify). You can read more about this feature and get all the necessary instructions in Bundler  > Settings > Show widgets outside Shopify. You just have to add a JavaScript code to the third party page and a bundle shortcode to the page where you want to display the bundle widget. 

With this feature, you can display the bundle on any third party page. When the customer clicks on the add to cart button in the bundle widget, they will be taken directly to the Shopify Checkout, where they will be able complete the bundle order.