And history suggests he has the ability to break them.
Although the 31-year-old did not score in Man City's opening match of last season, a 2-0 win at Arsenal, he does love a fast start.
The striker scored twice on his very first PL appearance, as a substitute, in a Matchweek 1 victory over Swansea City in August 2011.
But Aguero might hope for even more than two goals in the opening match of City's title defence.
After all, Pep Guardiola's side won 4-0 when they last visited the London Stadium in November 2018.
And Aguero claimed the winner when City last met West Ham, at the Etihad Stadium in February.
If he scores three times he will also surpass the PL's all-time leading goalscorer, Shearer, for most hat-tricks scored in the competition's history.
Aguero scored three hat-tricks in 2018/19 to take his tally to 11 and equal the record held by Shearer.
One of the Argentinian's trebles came early last season, too, against Huddersfield Town in Matchweek 2.
But scoring a hat-trick in Matchweek 1 has proved an elusive achievement across the Premier League.
Only seven players in PL history have done so, and none since Didier Drogba in 2010.