No. Any changes made to any steps of a campaign will only save when using the "previous" and "next" buttons that are built into the Punchh application. Using the back button in the web browser will not save edits that have been made to each step of the campaign.
The "previous" and "next" buttons are found at the bottom of the page on each step of the campaign.
If further assistance is required, submit a ticket to Punchh Support. (For help submitting a ticket, click here)