Yes, Process Hacker is completely safe. It's open source software hosted on GitHub and SourceForge. Some antivirus programs may flag it as potentially unwanted software due to its powerful system access capabilities, but this is a false positive. The software is widely used and trusted by millions of users worldwide.
If your antivirus flags Process Hacker, you can safely add it to the exclusion list. Always download Process Hacker from official sources (SourceForge or GitHub) to ensure you're getting a legitimate copy.