You need weekly lessons with a good, qualified teacher to develop vibrato and learn to control it. There is no substitute for lessons in person with a teacher.
Conversely, a very few people have a lot of vibrato in their voice, naturally and with no training. That was me as a young man. I had to get a voice teacher to teach me to reduce and control my naturally excessive vibrato.
But most voice teachers in the Western tradition are accustomed to taking in students who use very little vibrato naturally, and teaching them to develop and control a stylistically-appropriate and musical vibrato.
I have always heard it said that many pop and rock and jazz musicians feel that taking "classical" voice lessons from a teacher will ruin a person's ability to sing pop or rock or jazz. To a degree, I think that's actually true. But "a little controlled vibrato goes a long way", and I believe the main benefit of learning to sing with vibrato is that it makes it easier to sing for long periods of time with much less strain and fatigue. It gives you a technique that helps you develop vocal stamina. And there are many other techniques that go into better singing besides the vibrato technique. A teacher can help you with that.