No, track order does not matter. However, you can edit the track order if you like. To set your track order:
1) Go to your projects. Click your profile pic top right, then "Your Projects."
2) Select "Cover song projects."
3) On "Your Projects" page, click the project you want to work with.
4) On the project page, click "Add or edit songs" (on the left on desktops, in the context menu top-right on mobile devices).
5) On the "Add or edit songs" page, click and hold to drag and drop your songs in any order you want.
6) Click "Save track order" to save your changes.
7) Repeat steps 1 and 2 to return to your project and confirm the changes.
If you are wondering about album track order for Custom Licensing, click here.