Yes.
When you purchase AyaNova licenses, you are sent a keycode and instructions on how to enter it into the same trial AyaNova that you have already installed and have been using while in trial mode.
When you enter your license key that is emailed to you when you purchase AyaNova licenses, you will then have the ability to delete or keep any data entered while in trial mode.
If you wish to keep the data you have already entered, just select NO when it asks if you wish to delete the sample data.