[Saurreg]

Whether or not Fingolfin would actually attack Feanor is debatable. "To meet someone again" in this context does hold a notion to confront in arms. So when we read that Caesar desired to cross the Adratic as soon as possible to meet Pompey in Asia, it is logical to infer that the former wanted to engage the latter in pitched battle.

But given what we know of Fingolfin's nature and the way Tolkien depicts his "positive" characters, Fingolfin might be simply filled with a desire to accomplish the feat of travelling to Middle Earth even without ships nor Feanor himself. This can be interpreted as him facing an insurmountable challenge and rising to face it.