Yes, the DJI Mic 2 is compatible with the Sony ZV-1 Mark II.
Sony ZV-1 Mark II has a native 3.5mm Mic Terminal (confirmed on Sony's own spec page). DJI Mic 2 ships with a 3.5mm TRS wired analog output, which plugs directly into that terminal -- no adapter or accessory needed. First direct wired 3.5mm-to-3.5mm pairing case in this category (every prior camera in the action-cam/vlog set lacked a native port).
“Mic Terminal Yes (3.5 mm Stereo minijack)”
“Mic 2 supports USB-C and Lightning outputs, as well as 3.5mm TRS analog output. It is compatible with most cameras, smartphones, and computers.”
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Confidence: high confidence