Is there a way I can break the lease without having a penalty?

Understand the potential penalties - In many places, you can get out of your lease without penalty for a number of reasons, such as domestic violence, an unsafe environment, or if you’ve been called up for military service.
Check your lease - There may be an early termination clause that you can point to if your landlord didn’t fulfill the obligations set out in the lease.
Talk to your landlord about breaking a lease - Landlords are people, and many of them are understanding. If your reason for needing to break a lease isn’t legally covered but is understandable, they may be willing to find a solution for you.
Offer to help find a new tenant - Once someone new is in your rental, you’re off the hook for the remaining rent due in your lease.
Consider subletting to avoid breaking a lease - Consider subletting. You might not be able to find someone to cover your full rent, but even if they pay the typical 70%-80% of your rent, it could save you a lot of money.