According to Cambridge Dictionary, "move on" could mean
to start a new activity
I'd done the same job for years and felt it was time to move on.
to accept that a situation has changed and be ready to deal with new experiences
Since he and his girlfriend broke up, he's been finding it difficult to move on.
In an online classroom, a teacher just finished a section and going to start next section
Teacher: "Do you have any questions in this section?"
Student: "No, I don't have any questions at the moment. Thanks!"
According to the post As a student, how do I answer "do you have any questions"?, the student's response is natural and polite. Is it still natural if the following part is added?
Student: "No, I don't have any questions at the moment. Thanks! Let's move on."