No one is in a position of guessing "how good [your] chances are of getting the no contact order lifted". If you have no other criminal history, you are unlikely to be in jail for the full year. Most first time offenders do not get the maximum sentence executed.
Depending on your facts, the prosecutor may not even have enough proofs to get a conviction, especially if your boyfriend asserts his rights to not testify.
Or, you and the prosecutor can reach some sort of deal to avoid the hassles of prosecution.
The best person to advise you would be someone who knows the relevant details of your case. You likely will need to review your facts and options with your attorney.
If you have low income, you may qualify for state-paid legal representation. If your income is too high to be indigent but not high enough to pay a private attorney, the public defender association in your area may be willing to represent you for a reduced fee. You likely can get information regarding public defenders at the courthouse where you are being prosecuted.