Yes, he can deny you the apartment because he does not like your job.
Next time you go apartment hunting, just show the lessor the part of your bank statement showing that you have the funds in the bank. If they need to speak to your boss, have your boss contact them directly and limit the conversation to what your income is. If the lessor asks anyone what you do, the answer should be that you are in "the entertainment industry" or "commercial retail" - whichever fits what you do best.
This general opinion DOES NOT create an attorney-client relationship. No communication can ever replace the specific advice of a lawyer. Each person's situation is different, and additional facts can change legal outcomes. You should consult privately with a lawyer if you have a question about a legal dispute.