Welcome Alejandro
Yes it is possible to use the satellite ephemeris data for precision time information.
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either use an extension like ALS by Niclas Gins or possibly use javascript GitHub - infusion/GPS.js: A NMEA parser and GPS utility library to read the the appropriate information from NMEA sentences.
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the ephemeris time is exposed in the NMEA text files broadcast by each satellite.
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the ALS extension does not work correctly with newer Android versions