The Frenchman - who last achieved the feat in 2004 - penned a new three-year contract in May shortly after winning the FA Cup.
"Of course. We have not started very well, but we never had the squad together since the start of the season. It was a post-World Cup start typically," Wenger said when asked if his side can win the championship between now and 2017.
"We have what is requested to do it. We have to fight like mad now to come back as much as possible to show that we can compete in every single game."
He added: "We have fought many times for the title. People always remember who won it, but the fight has been very tight for long periods in the last eight or nine years.
"We have a big competition in England, we have to accept that. The Premier League level goes always up and this season Chelsea have started very well. They will be difficult to catch, but everybody will fight to come back on them. After 13 or 14 games, you cannot say that the title race is over. You cannot say that is not catchable."
The Gunners are seventh on the table with 20 points from 13 games - 13 points adrift of pace-setting London rivals Chelsea.