Not really.
All 777-200ERs are technically 777-200s as the ER is a company designation and not an official Boeing variant. Both have B772 as their ICAO.
However, the 777-300ER is a separate aircraft developed from the 777-300 with various improvements on top of an increased range. The 777-300ER has B77W as its ICAO while it’s B773 for the 777-300.