The title holders need Sir Alex Ferguson's side to collapse in spectacular fashion if they are to retain the title they won so thrillingly in the final seconds of the last day of the 2011-12 season.
While the Red Devils hold a strong lead in the quest for their 20th league title, the 26-year-old suggests Roberto Mancini's team need to keep winning games such as the hard-fought 1-0 victory at Aston Villa on Monday night to stay in touch.
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"It is possible, we are City, we need to fight until the final game, and it could happen. We will continue to fight for this Premier League title.
"We still have to go to Old Trafford, but first we have difficult games like Everton and Tottenham away from home. It is important we win at United but if we don't win, for example against Everton, it will be much harder.
"It was a hard game [1-0 victory over Aston Villa] - they are a good, young team and played very well but we defended superbly and on the counter-attack we were very strong."
Garcia admits that Manchester United losing to Real Madrid in the Champions League could have a negative effect on City's title chances, but insists it will not change his club's preparations for the run-in.
"I don't know if the Champions League was a distraction for United or not," he added.
"Maybe it was better for us that United had more games but the situation is the same even though they lost to Madrid. We just need to focus in ourselves."