The fasthttp library is good if you don't need to support corner cases of HTTP and you don't need HTTP/2.
If that is given, yes, it's faster.
If you want HTTP/2 support Chi[0] can probably help. It's plenty snappy too.
I don't recommend it; it doesn't actually implement HTTP, and the stdlib package net/http is extremely fast on its own.
Does it keep its promise in terms of speed? (I assume real world code would spend much more time in actual business logic than their examples/benchmarks so I guess there wouldn't be as much a difference as they claim, but the idea of zero allocations intrigues me)
[0]: https://github.com/valyala/fasthttp