Really depends what you mean by 'native'.
Can the PS5 do it?
With HDMI2.1 there's the bandwidth for 4K/144Hz or 4K/240 (or even "5k"120) 240 with compression. So it's not a hardware level support concern.
However, games are still likely to be developed for the common 'tv' resolutions, 1080p then 4K, so the content likely won't be 'native' 1440p... it'll be up/downscaled accordingly.