No, it is not possible to add a custom icon for Task types.  Administrators can add custom Task type names, and choose from Brightpod’s list of icons:

task-type-icons

To add your own custom task type name and choose an icon,

1. Go to Settings & Account in the top right corner and click Settings.
settings

2. On the right side, click Manage Task Types.

3.  Enter in the name of your Task Type, choose an icon, and click Add Task Type.

tasktype-manage

 

4. If you want to edit or remove the Task Type you created, hover over the name and click either edit or remove.

tasktype-editremove

Check out our video to learn more about task types!