(not) in any way, in no way, at all
This structure is used to express that no matter how much effort is put in or what method is tried, a certain action or result is completely impossible to achieve. It emphasizes a sense of helplessness or total inability.
The phrase
この問題は
I cannot understand this problem at all.
この機械は
I cannot fix this machine in any way.
あの人の名前は
I simply cannot remember that person's name.
This grammar point is almost always used with the potential form of a verb in the negative to emphasize that something cannot be done. It conveys a stronger sense of impossibility than just using a simple negative verb.