In short: yes. According to Unity, HDRP is supported in their render streaming framework.
The PureWeb plugin currently supports up to Unity 2020 LTS, which would equate to HRDP version 10.8.1. For more information on the differences , the comparison of Built-In vs HDRP from Unity is a good resource to consult.
What is HRDP (High Definition Render Pipeline)?
HRDP runs as a scriptable C# package (https://blog.unity.com/technology/srp-overview). For more information about using the HDRP from an different perspective, check out the following article from the Unity Blog.
So How Do I Switch to HRDP?
Standard Unity projects need to be converted to HDRP by your game development team. Depending on the needs and complexity of your project, this can be a substantial amount of work. Please feel free to contact us if you are taking on this work and have questions or feedback.