runtime shipping price calculate on checkout page shiprocket

We are working on an e-commerce portal and want to integrate ShipRocket. Our portal is being built on Laravel and were successful in integrating Shiprocket API. Currently the orders that are placed on our portal is being fetched by shiprocket but would like to know if there is a way for the api to pass on the live shipping rates calculated on shiprocket to the check out page of our Laravel e-commerce platform so that the correct shipping amount will be displayed to the customer placing the order. We tried reaching out to ship rocket but unfortunately no response from their end. Any way to tackle this issue?