Important DGGS projections (like ISEA4T, ISEA4D or ISEA7H variants of ISEA) are free at https://github.com/sahrk/DGGRID , the DGGRID Software Project, but I not see how to use it with PostGIS. Only maybe drawing and exporting each hierarchical level of the (big data) grid.
Ideal is a function pair like ST_GeoHash / ST_GeomFromGeoHash that encode/decode cell identifiers of the grid.
Some clue or workaround to "plug" DGGRID into PostgreSQL? It can be a plug for PostGIS or pgLatLon extensions.
NOTES FOR CURIOUS READERS:
Discrete Global Grid Systems (DGGS) are the trend in GIS, and since 2017 has an standard OGC Abstract Specification.
pgLatLonextension is a lightweight alternative for PostGIS, see https://www.public-software-group.org/pgLatLonDGGRID (and ISEA4T, ISEA4D, ISEA7H grids) documentation is at git/sahrk/DGGRID/dggridManualV71.pdf. About first levels of the grid, they are analog to ISEA3H, described here with general conventions for orientation here. See also DGGRID use case examples.