Does Acts 10 say that Christ died and rose from the dead as the means of salvation?
No. Acts 10 does not state that Christ died for them, shed His blood for them, and rose from the dead as the means of salvation. Peter instead rehearses Jesus as Messiah, raised by God and testified by prophets, so believers receive remission of sins through His name.
Les explains that Peter is again making plain that Jesus' ministry was only within the land of Israel and Jerusalem. In Acts 10:39-43, Peter says the Jews slew Him and hanged Him on a tree, but God raised Him the third day and showed Him to chosen witnesses. Peter declares Him ordained judge and says the prophets witness that through His name whoever believes receives remission of sins. Les emphasizes it does not say one word that Christ died for them, shed His blood for them, and rose from the dead as a means of salvation. Peter is only rehearsing who Jesus was: the Messiah of Israel, the Son of God, the Redeemer and King of the chosen people in fulfillment of the Abrahamic covenant.
And we are witnesses of all things which he did both in the land of the Jews, and in Jerusalem; whom they slew and hanged on a tree:
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In Acts 10, did Peter say that Jesus died for sins and rose as the means of salvation?
In this passage Les is commenting on, Acts 10 does not say one word that Christ died for people, shed His blood for them, or rose from the dead as a means of salvation.