Very likely. But more studies would be needed. The best phase diagram for H2S and methane that I could find only went up to ~140 barr. Though there were some interesting papers on clathrates and methane in the kilo-barr range, but I'd not think those were interesting for deep earth experiments. The deep earth is ~3.3 mega-barr, for comparison.

https://www.engineeringtoolbox.com/hydrogen-sulfide-H2S-prop...

https://www.engineeringtoolbox.com/methane-d_1420.html