Is it possible to calculate lake surface temperature (of a coastal lagoon) using Sentinel-2 SWIR band 12 (2200nm, 20m resolution)?

There are also in situ measurements available for calibration.

This image shows some emission there:

https://www.eumetsat.int/metprods_webcast/media/graphics/MODIS_WC_land_solar_spectral_signatures.jpg

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