You can check the blockchain ledger for each StockX NFT through Etherscan. Since StockX maintains custodial authority of all NFTs traded on the platform, you will not see the transaction history in the blockchain ledger. You can, however, always see the transaction history on the StockX product page. Transaction history is blended for all editions and will not show trades on an individual token basis.
In the future, customers will have the ability to withdraw an NFT from StockX to an external personal wallet, and any withdrawal will be posted to the ledger.