In American English, yes, it is absolutely correct and perfectly natural. It may well be different in British English.

In short: yes, sure. However, in my opinion you’d only say that for example, in a context of comparison. This person may be different from others because he’s taking the SATs. You could say: “Oh that’s the SAT-taker. I wonder why he chose that over our curriculum?” Taking the SATs makes him stand out. In America, where SATs are the norm, to describe someone as a SAT-taker would be…strange, as almost everyone takes the SATs. ✌️☺️

Hello Mari! In British English, you would say that the student is/ VERB/ their exams. Alex is in year 11 at school, he will take his exams this year. Sofia is in year 11 at school, she has her exams this year. Imogen is in year 11, she will have her exams this year. You could swap exams for SAT's. Peter will take his SATs this year. Hope this helps. Brad

Yes absolutely that sounds fine.