The Blues have progressed to the semi-finals of the FA Cup and secured a 1-0 victory in the first leg of their Champions League quarter-final tie against Benfica, but remain five points behind fourth-placed Tottenham in the league table.
Roberto Di Matteo has rotated players in and out of the Chelsea team to deal with their busy schedule since taking over from Andre Villas-Boas, which Mata praised as a "clever" tactic.
"Why not, why not?" Mata replied when asked if Chelsea were good enough to claim a trophy this season.
"It will not be easy, but we are alive and are fighting for the Champions League and FA Cup.
"We will try to finish the Premier League in third or fourth position and will fight for that.
"Every player is involved to achieve our objectives in the FA Cup, Champions League and Premier League.
"We have a lot of games every week and I think it is a clever decision [to rotate the squad]."
Mata was pleased to see the Blues secure an "important" result away from home against Benfica.
Salomon Kalou scored the only goal of the match in the second half to give Chelsea the advantage ahead of the second leg at Stamford Bridge next week.
"It was a good result for us," Mata added. "It was a very, very important game, away, and a very important goal from Salomon Kalou.
"It is very important for us. The most important thing when you play away is to try and keep your clean sheet and then try and score.
"We did that but we have not finished the elimination and we have to fight at Stamford Bridge."
Chelsea are 10.0 with 188Bet to win the Champions League this season.
The 23-year-old had a chance to open the scoring at the Estadio da Luz but could not find the target after rounding Benfica goalkeeper Artur when through on goal.
Mata felt that Chelsea had created enough opportunities, including his own, to take an even bigger lead away from Lisbon.
"It was fast, I tried to score and hit the post," he explained. "I think we had a lot of chances to score and for us the 0-1 is a very, very good result.
"In the second half we had chances to score like mine. I hit the post, it was unlucky, but we got the goal.
"It is not over yet. Benfica for sure will come to our stadium to try to score. It's not over, we have to fight again."
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