You can do it with a variable. The short date form is {Date}.
So compose a new message and where you want the date to be inserted, just type {Date}. See 1 below. When you click Send, it will be replaced with 24/03/2020. See 2 below.
If it becomes arduous to keep typing {Date}, you can create a Quicktext, which can be inserted by right-click > Insert > Quicktext or from the icon bar drop-down. For more on Quicktexts, see the Help File.