No, it won't. At least, not because of a helium leak. Starliner is currently holding ten times the amount of helium needed to safely deorbit the capsule. These new leaks aren't anything mision-endangering and are leaking hundreds of times slower than the one they detected beforehand that NASA still deemed acceptable to launch with.
I've been out of the loop but when I hear that Boeing had built and was launching a spacecraft I immediately knew there was going to be problem. If they have a document history of cutting corners on their aircraft, what would make people think this would be any different.
I hope the astronauts can make it back without incident but knowing Boeing they might use the reentry as an opportunity to "disappear" the whiteness