Is the Fox ESS H3-E H3-5.0-E compatible with the Fox ESS EPS BOX PRO HC?

Yes — listed by the manufacturer.

The manufacturer's published pairing data lists these together.

Minute Solar records Fox ESS H3-E H3-5.0-E with Fox ESS EPS BOX PRO HC as compatible (A — Automatic). Derived from recorded specifications or compatibility groups; no manufacturer approval is recorded.

▦Manufacturer's compatibility listListed together in the manufacturer's published pairing data. A cited document reference is being added as datasheets are processed.