The Switch can definitely run Crysis–and a new tweet promises that it will improve on the original PC version.
Crysis Remastered is coming to Switch on July 23, and considering that the original 2007 game famously required a very powerful PC to run, many players are curious about how it will translate to Nintendo’s hybrid console. Now, a new (very short) gameplay clip gives us some indication of how it will handle.

Source: N4G PC Crysis On Switch Shows Off Its Improved Physics In A New Short Clip