For a more direct answer - No. At present there is a dead-end siding using the other face of the SVR island platform at the London end of the SVR Eridge station. When I was there on Easter Monday, the first train arrived top-and-tailed and once it had departed again towards Tunbridge Wells, it stopped just outside the station and the country-end loco came off and went into the siding to await the next arrival (when it 'topped' the return train, and the back loco came off etc. etc.).
Talking to the guy in the SVR booking office, he said they hoped to reinstall the rest of the loop line this winter. However, the pedestrian access from the Network Rail passenger car park gets in the way. The guy said there was a possibility of moving the 'drawbridge' from Brockenhurst. Don't hold your breath!
Rob