A question about isomers

[Swan Ng 1L]

In class we learned about Cis and Trans isomers. I was wondering if it is possible for another isomer where the arrangement of substituents around one carbon can vary, for example, if we had a carbon atom and its substituents were arranged in an order such as Hydrogen, Chlorine, Iodine, and Bromine, is it an isomer if there was a different arrangement around the carbon such as Hydrogen, Bromine, Iodine, and Chlorine?

[Nicholas Fierro 1E]

I was looking through the organic chemistry course reader. On page 122, I read about a thing called an enantiomer which sounds very similar to what you are describing. So yes, it is possible for another arrangement of substituents to occur. Basically, an enantiomer is just a mirror reflection of itself, which is exactly how you listed the substituents in your question.