It’s unlikely that he just wants space.
He has been a musician throughout your interaction with him.
Yet, he was still going out on at least one date with you a week and spending the whole day with you.
He was clearly able to make time for those dates.
If he truly wanted to, he could focus on music while still finding the time to go out on dates with you.
Let him message you first.
Guys who are truly interested will make the effort to reach out to the girl, especially in the early stages of dating.
If he is not willing to make more of an effort to pursue you this early on in your interaction with him, that would indicate that he doesn’t care all that much about the interaction.
The sooner you discover this, the better.