Answer: Yes. If you create a product with a basic bundle and set it to be added to the cart as a single product.
First of all, let's get on the same page when we talk about Shopify POS. If you mean that you can sell a bundle via Shopify POS and the items' inventory should update, then we are on the same page.
When creating a Bundle as A Product (BAP), there are two ways to set it up: as a Multi-BAP, and as a Single-BAP. Read here to learn about the differences between the two types.
Only Single-BAPs work with POS
Fast Bundle is integrated with Shopify POS on Bundle as a Product that is selected to be added to the cart as one single item (Single-BAP).
To know how to create a Bundle as a Product, please check this article.