You shouldn't have a comma separating "dang sensual" and "hot" chick, but yes between deep, smart, and successful.

Quick question: When you say dang sensual, do you mean something like "muy sensual"? Just making sure!

And I think the reason for having the comma separating these are because "dang sensual" and "hot" are just two adjectives. When there are three or more things listed, you separate them with commas. "Deep," "Smart," and "Successful," are in another clause (I think that's what it is called) which you can notice with "but" in between the two parts of the sentence. "but" introduces another thought, so treat that part of the sentence separate in this case.

Like this

“It is totally possible to be a dang sensual and hot chick, but also deep, smart, and successful”