In constant fights with lover, is there a future for us?

Yes, I do believe there is. This is all up to you though. If you are questioning it. What do you think the path that you need to take. Just because people fight a lot does not mean that there is not future. Depends on what kind of fighting your talking about. Abusive? Or just always arguing?

How do you feel in this relationship?
Are you happy?

Define "fight" Obviously this is becoming uncomfortable or you would not be concerned. At some point fighting becomes pointless. What is at stake in these fights? What are you each trying to prove with the fight? Is there a lack of respect between you? YOU BOTH NEED to improve partnering skills -- listening and reasoning and understanding from the OTHER PERSON's point of view. If you can't do this, the person who can't do it is not ready for partnering-- too selfish