Unfortunately, at this point, the answer is no.
There has been some community work to bring the full data set available from the navigation timing API into Glimpse.
That effort is a bit stale now, but if you'd like to pick it back up you'd be able to get not only http timings, but all of the following:
- navigationStart
- unloadEventStart
- unloadEventEnd
- redirectStart
- redirectEnd
- fetchStart
- domainLookupStart
- domainLookupEnd
- connectStart
- connectEnd
- secureConnectionStart
- requestStart
- responseStart
- responseEnd
- domLoading
- domInteractive
- domContentLoadedEventStart
- domContentLoadedEventEnd
- domComplete
- loadEventStart
- loadEventEnd
AND it would work in almost all browsers (excluding oldIE).