Yes, that is possible.

To do this, go to 'General Settings' of your coupon builder.

You will see 'Flexible start date' right under 'Start date'.

If you enable this, you will see the following options:

If you have clicked on one of the options and you click on preview then you will see a default text pop-up saying:

You can edit or leave out the start date text in the entree section as well.