Be True to Your Pre-School - S6-E15
Continuity mistake: When Jesse and Becky first enter Bouton Hall with the twins Jesse is holding both twins. He hands a twin wearing a blue vest to Becky. Jesse talks about embellishing the application and Becky hearing strange things. After she says "What strange things?" the camera switches to Jesse and he is holding the twin in the blue vest.
Character mistake: Danny and Joey finds out that their high school girlfriend was using them to make Jesse jealous. In season 1 it states that Danny is 30, and Jesse is 23, making Jesse 7 years younger. High School Danny would be 16-18, making Jesse 9-11 years old, and not in High School.
Answer: No.