Unfortuntely not at this time, for BT Sports to work on your Youview box, you would require any BT TV plan, sports is an addon to the BT TV package.
BT TV is only available to BT broadband customers, you can get channel only on Sky but it's not as cheap as what broadband customers get.
Thanks for the info. My broadband is with BT but have been with Sky for TV for some years. Only use the free to air channels other than sport so I hoped I could switch to YouView with BT Sports and save some monthly outlay. Will have to investigate cheapest BT package or forego sports viewing. Thanks again.