No, he wasn't there.
Harold Godwinson won at Stanford Bridge against Harald Hardrada and Tostig Godwinson
The Battle of Stirling Bridge in 1297.
Harold Hadrada did not win the battle of hastings he was killed by Harold Godwinson at Stanford bridge. After a long fight William Duke of Normandy shot Harold Godwinson in the eye which made William thr king of England.
Harold Godwineson won the battle of Stamford Bridge, and then William Duke of Normandy won the battle of Hastings due to his leadership, preparation and luck.
There was no Battle of Stirling. You may be thinking of the Battle of Stirling Bridge which the Scots won on the 11th September 1297 under the command of William Wallce.
Harald Hardrada did not win the Battle of Hastings, he was killed earlier at the Battle of Stamford Bridge.
NO
Sources say that William won the battle at about 11/12 am
11 September 1297.
William wanted to be King of England.
In Britain
To win the battle
no they did not. William the Conqueror did