Yep. I just got GLH 1880BC (turn 53) on my contender test map above. Note that the above strategy does not build a warrior, and does not require one. I used prevent-growth while building the WB, and switched immediately to worker despite still being at population 1.
When done, the worker moved onto the PH and mined it. BW has not arrived when he finished, so I moved him twice to the far GFH, since I didn't need the third mine or chop done earlier that this achieves. BW arrived on the turn the worker finished his trek, so I switched. The pop growth to 4 arrived 1 turn before masonry was due and the same time that forest was chopped, so a 2-pop whip was perfectly timed for overflow to GLH.
For the early part of the GLH you are happiness-limited to population 3, but during this time you have only two mines+fish to work, so this is alright. The third mine gets built before you can grow to population 4, and with the early expedition, this worker is now in better position to do whatever else you need (e.g. a road for your settlers later). Essentially you swap a wasted worker turn earlier on for a useful one now.
Of course the earlier GLH is quite moot, since it doesn't earn a thing until you have either access to multiple AI trade routes or 3+ cities or combination thereof. You now need to backfill some WB and warrior to REX at full capacity. By turn 66 (1360BC) I'd built my warrior, two more WB, whipped a 2-pop granary and put two turns on a new WB as I arrived back at pop 4 (happiness cap). One could start an explorer WB here, but I made a settler first.
Anyway by 1080BC I had my first city up, teched Alphabet in 875BC (same as earlier game; also dispatched my first explorer WB) and had my third city up in 800BC (so the GLH is finally working). This seems to be ahead of my
earlier GLH game on this map. I had been luckier to have been met by more AIs than in that earlier game, so I had decent trading options (IW, hunting, archery, AH, myst and a pile of favourable diplomatic ratings for writing and alphabet).