I think what you're feeling is what therapists call "transference". A life coach and a therapist are very similar in their roles although a life coach doesn't need the same level of certification. It would not be ethical for him to reciprocate your feelings if he remained your life coach. It would actually be kind of suspect even if he terminated the professional relationship. There is a power imbalance.

There's nothing wrong with your feelings, but you don't love him, you love how he validates you, you're projecting what you think he is like in his personal life, because he's empathetic and empowering you as a part of his profession.

That's why it's transference not love. Because he hasn't opened up to you about his personal life and past and been vulnerable with you the way you have with him. Because that wouldn't be appropriate as part of the job.

The feelings are great, and a good therapist/coach can help you work through transference without reciprocating it or encouraging it.