Not sure if binance provides these metrics via API for copy trading portfolio. But, they do support trading for copy trading account via APIs. so there's chance you can get the mertrics as well.

To be able to leverage APIs for lead copy trading, you need to create the APIs keys from the interface of your lead spot/future copy trading account, not from the normal spot/future account. Following are the resources to consider.

FAQs: https://www.binance.com/en/support/faq/detail/6ed0995daf0b42d5816beaf1e31ca09d