The young artist hopes to make his mark with his unique style.

make 是动词，意思是"做、制造"，在这里引申为"创造、实现"。 his 是形容词性物主代词，指代"他的"。 mark 本义是"标记、痕迹"，引申为"影响、成就"。 make his mark 是固定短语，意思是"留下印记、取得成就"，常用来形容某人通过努力获得认可或成功。