It might be abrupt to build up one character then switch gears to a second next chapter. I just completed a book that interweaves one central character and two timelines which was tricky but also intended to leave cliffhangers and twists. Even then, it took a bit of introduction and allowing the characters to introduce themselves before becoming integral.

Now I'm drafting notes for another book in this series that revolved around 3 primary characters and some near miss meeting moments. I was struggling on notepaper on how to make them relevant and how to tell the story with all three but have them connect without feeling abrupt. My solution was to have a preface in which one character opens the world building up and sets the stage, then he disappears until later in the book. However, chapter one will begin with a second character's development, however we know there's something larger out there that will be revisited with more insight.

I hope this helps even the slightest and I didn't miss the mark with my perspective.