There's absolutely no way I can forget you.
我忘记你是完全不可能的。
It's impossible to make me forget you.
让我忘记你,是不可能的。
There's no way you can make me forget you.
不管你怎么做,我都忘不了你。
Forgetting you is something I cannot do.
忘记你是一件我做不到的事情。
(这个语法上可能最接近你的句子,但在英文里这样说有些别扭,后面连不上别的句子)
参考资料:美籍华裔