Well no, but he's achieved some incredible results in Europe with a Molde team thats not even on the same planet as most of the teams they face financial wise:
https://www.eurosport.no/fotball/uefa-europa-league/2015-2016/calendar-result.shtml
The 2015/2016 EL campaign saw Molde win their group with Ajax, Celtic and Fenerbache. They beat Celtic home and away, beat Fenerbache in Turkey, drew twice against Ajax. They lost 3-0 to Sevilla in Spain, but won 1-0 in Norway. During that same period Manchester United lost 2-1 against FC Midtjylland in Denmark (but won 5-1 at home).
Currently Ole has won 3 out of 3 games against the top 6, lost 1 game against one of the best teams on the planet after a halftime 0-0, and is managing the best team in the premier league since he came to the club (as pr. the Ole table).
How long does he need to do something here, to have done something at United level? Mourinho has achieved more results than most managers can dream of and the team sucked under his leadership.
So what does Ole have to do exactly, how show he's worthy? Beat Liverpool? The team with the best structure and arguably best offense in the world currently? Win ever single game to eternity?