Not in the traditional sense from the Icon tool in the formatting bar in Lucidchart. There is if you utilize conditional formatting (if/then logic rules based on shape type, text or data). 

• Conditional formatting course: https://training.lucid.co/path/diving-deeper-with-lucidchart/gain-insight-with-conditional-formatting?_gl=1*vrwe02*_ga*NDQ3MzY1ODkxLjE3MDE5NjIxMzk.*_ga_MPV5H3XMB5*MTcwMTk2MjEzOS4xLjAuMTcwMTk2MjEzOS42MC4wLjA.*_gcl_au*MTA1ODEzOTAzMS4xNzAxOTYyMTQx
• Help center article: https://help.lucid.co/hc/en-us/articles/16293796201108-Add-conditional-formatting-in-Lucidchart

Hi there, 

Thanks for posting in the Lucid Community! Ryan, that is a great suggestion. For more context, you can use conditional formatting to add custom icons to shapes or elements within your diagram. Here is a quick example I created to demonstrate how this can be done.

What type of file should the custom icon be? would be better if we can add a shape and also be able to resize icons

Hey @yianni -- thanks for posting! The file type of a custom icon can be any typical image file type that Lucid will accept such as a PNG, JPG, PDF, etc. It is also possible to upload a shape as a custom icon. Simply select the shape on the canvas, right click, export selection, PNG. Now you can upload the custom icon as a shape 

I like the idea of being able to resize the icons, however, this isn’t possible at this time. Would you mind to post in the Product Feedback channel to get this idea in front of our Dev Team?

Thanks so much for your great ideas!