No. And the fact that this gets framed as a test of intimacy is the problem.
Full transparency isn't the same as honesty. You can be completely honest and still have privacy. The question assumes information = closeness, which is backwards. Closeness enables trust enough to not need information.
Here's what matters: tell them what affects them. Your past relationships, yes. Whether you're unhappy in your career, yes. That weird fight you had with your mom and what you said—does it affect them? Probably not. Your intrusive thought about someone else isn't data they need.
Some people conflate disclosure with vulnerability. They're not the same. Dumping every private thought on someone isn't intimacy, it's creating an archivist. Real intimacy is the security to keep some things to yourself and not be questioned about it.
The couples who actually make it aren't the ones who tell each other everything. They're the ones who've agreed what matters to share. That requires less transparency, actually. More respect.
If your partner needs you to confess everything to believe you're trustworthy, that's not a transparency problem. That's a trust problem, and more information won't fix it.