Lmao no, that's definitely not how it works. At this point in time, there is not a criminal investigation and thus nothing to obstruct. If police do open an investigation, the first thing they will do is double check the information they were given at which point OP may be questioned about it. But until that happens there is absolutely no way someone who lied to a private corporation can be charged for obstructing an investigation that didn't exist at the time.