How many rows are you looking to rearrange? If it is only handful of rows, you can control the order through the union tool. You would use the filter tool to get the specific row that you want and then add them to the union tool in the correct order.
Another thought: give each row a record ID, then use a text input to list out the record IDs with a new row number next to it. Join this back on to the data and sort by the new row number.
