You can reorder the experiments, however, there are certain limitations: you can choose to sort them by creation date (Newest first or Oldest first) or alphabet (From A to Z or From Z to A). The Sort by button is on the left upper corner on the Project's experiments overview.
In addition, you can edit the experiment name by adding the date before the name. The best way would be to add the date in the format yyyy/mm/dd (exp. “2018/01/12 – Protein spectrometry”), so you can sort the experiments chronologically by choosing the sort action From A to Z from the drop-down menu. For easier understanding see the GIF below.