I am not friendly to your theories.
あなたの考えには賛成できない
I can't abide that man.
あいつには辛抱できない
I can't countenance your making a fool of yourself.
君のばかなまねを見ぬふりはできない
I can't explain over the phone.
電話では説明できない
I can't imagine flying in the sky.
空を飛ぶなんて想像できない
I can't picture him coming to visit me.
彼が来てくれるなんて想像もできない
I can't promise (anything)
((略式))(やってはみるが)何も保証できないよ
I can't promise that I'll stay here permanently.
ここにずっといるとは保証できない
I can't put into words how happy I am.
今の幸せは言葉にできない
I can't really answer for everybody in the industry.
業界のひとりひとりを代弁することはできない