Hi,
Yes. There are several ways to go about it based on what you need:
1. You can configure a filter of the type "dropdown" applying on "sort" with the "price" selected for the sorting. That will display a sorting dropdown so that the customer can choose to sort by ascending or descending prices. You can also add other kinds of sorting to that dropdown to go further.
2. If you do point 1, you can turn on the "redirect POST mode" setting of the HikaShop configuration. When, you use the filter, you'll see that the link of the page changes. So you can use that link in a menu item to direct to a prefiltered page with the sorting already done on the price.
3. It's also possible to create a custom product field where the price will be stored, and have a mass action in place to update the value of that custom field with the price when a product is created/changed. Then, you can simply select that custom field in the "ordering column" of the menu item so that it will be ordered by default on the price copied in that custom field for each product.