Well, that’s completely different from what you asked in the post, lol.
Yes, artists can stream their own music but it won’t have nearly the same reach as if you put it on a major platform. People are more likely to stumble across something they like while listening to something else. So, maybe a combination of tradition marketing alongside your own site if they wish to delve deeper into your music, at least for now. As your band grows in popularity, you can start moving away from traditional streaming.