No, Emily Osment did not play in the original "Full House" series. She is known for her roles in other Disney Channel shows like "Hannah Montana" and "The Suite Life of Zack & Cody."
However, there was a reboot of "Full House" called "Fuller House" which ran from 2016 to 2020. While Emily Osment did not appear in the original series, she did have a recurring role as Stephanie Tanner's best friend, "Mikey" in "Fuller House."