Not that I've seen. There are some browser-specific tools that will do something like that out-of-band (e.g. in Firefox about:memory has a "Save GC & CC logs"

Not that I've seen. There are some browser-specific tools that will do something like that out-of-band (e.g. in Firefox about:memory has a "Save GC & CC logs" option that outputs data about what the GC and cycle collector heap graphs look like). But interpreting those graphs is not easy, sadly.