Looks like a possibility then. This memory would have been 1959 to 1963 at the latest. I moved from Leyton in Feb 1959 and grand parents moved from Hackney about 1963 which is why I would have been on a bus on Dalston Lane.
So I guess there was a goods yard some were or goods traffic to Broad Street. 1955 atlas shows some sort of a yard half way between Dalson Junc and Broad Street and yard or goods depot at Broad Street.
I wonder had the curved survived long enough would we have seen Overground trains on the ELL to Stratford or on the Poplar line. Surprised the DLR was never extended to Hackney Wick given the endless criticisms that the area of London is devoid of tube/railways.
Brown gives Shoreditch (Dunloe Street) Goods, located on the east side of the line where the current Hoxton station is, as closing on 03/06/1968. Broad Street Goods, to the west of the terminus, closed 27/01/1969.
It can be added that the passenger service over the Eastern Curve was suspended on 15/05/1944 due to enemy action and never reinstated. Whether it was still available for passenger trains is unclear, but Jackson in London Termini (Pan (p.b.), 1972) suggests that the cause of withdrawal was the evacuation from the East End of those who had used an already poorly-patronized service.
EDIT: To add a bit more. Dunloe Street Goods appears to have been an LNWR coal depot, while the north part of Broad Street Goods appears to have been a coal yard for bulk deliveries known as Worship Street. There appear to be articles, which I have only skimmed, if you google Dunloe Street Goods yard or Worship Street Goods yard.