YOU SAID:

There is no way I'm going to their party

INTO JAPANESE

私が彼らのパーティーに行く方法はない

BACK INTO ENGLISH

there's no way i can go to their party

INTO JAPANESE

私は彼らのパーティーに行くことができない

BACK INTO ENGLISH

i can't go to their party

INTO JAPANESE

私は彼らのパーティーに行けない

BACK INTO ENGLISH

i can't go to their party