The answer is yes in short but always apply Ayurvedic brands or homemade kajal. For example, you can apply Patanjali Kajal it is safe for the eyes. Patanjali products are Ayurvedic and chemical-free.  Kajal makes women more beautiful. If women apply nothing on the face only the kajal will look beautiful the kajal is the grace of women. 

But applying kajal daily can create or increase dark circles. So do not apply kajal daily. Apply it one time a week or one time in 10 days or as per your choice. And still, if you want to apply kajal apply it under your eyes and make sure your kajal is not scattering. 

So, kajal is not harmful to the eyes but can increase dark circles. Especially for kids apply homemade kajal do not use readymade kajal. Do not use local brands Kajal. Always use recognized brand kajal like Maybelline, Lakme, Elle, and Huda Beauty.

So apply kajal once in a while and take care of your eyes.