I agree with the Lineback III thing, but starting from TWW on the timeline, they are not related. In ALttP, they talk about all the Link's are related to the Hylian Knights. Not the exact same family though, the Hylian Knights could be thousands of different families. ALttP starts on the Child timeline, not the Adult Timeline. Infact, ALttP takes place after ST does on the timeline, so it is highly unlikely that the Hero of Winds is related to Link from ST. But the Hero of Winds is definitly related to Zelda from ST.