Yes, different kinds of instruments have different spacing and different pianists have different hand sizes. And yes, it's often possible to find a fingering that can accommodate wider-spaced harmonies such as in Bach chorales. But, notably, those chorales weren't written to be played on piano. There are standard ranges that are considered appropriate for piano writing (not including electronic keyboards) that are quite useful to know.
First of all, I would say that the odds are good that you should be rolling the chord in one hand in your example. It is very common for composers to write chords that are too big for the hand to play, and what they mean is that you should quickly roll the notes from bottom to top (probably with the pedal down). This is especially common in Brahms, Chopin, Schumann and other Romantic composers. The widest comfortable range for either hand is generally considered to be the octave, and the widest stretch generally used with any expectation that the notes can be played without rolling is a 10th. There are still a number of detailed considerations—including how many and what notes are to be played in between the 10th, whether the 10th spans white key to white key, white to black, etc.—but that's the general rule. There are plenty of pianists who would still have to roll chords that span a 10th, if its very important to you that they don't roll, you have to keep it within an octave.
But that is the span within one hand. The distance between the two hands is, for all intents and purposes, unlimited. I think that the answer to your specific question is that you should roll the chord and use the pedal to create the sustain of the lower notes that you can't hold down. I think that's especially the case with the second example you posted in the comments. That being said, some of the other solutions being offered here are also good—I just disagree with the assertion that there is no limit or rule for hand span on the piano.