No - At this time, our Logo Maker is unable to support the addition of an icon to a logo structure that did not have one at first.
If you would like to add an icon to your design, you can restart the design process again and choose an "Icon-Based logo" as your logo-type. By doing so, your logo creation process will restart, and this will allow you to come up with different options for your logo that include the icon you choose.
For further information or to speak to one of our Support Agents, simply click on the link here and submit your message via the green Help button on the bottom right-hand corner.