You scare me because you didn’t do the most cursory of research on penguins.
Although almost all penguin species are native to the Southern Hemisphere, they are not found only in cold climates, such as Antarctica. In fact, only a few species of penguin live so far south. Several species are found in the temperate zone, and one species, the Galápagos penguin, lives near the equator.
Armed with this information, then it is entirely possible that penguins could have lived near Noah.
Even if somehow ever one of those penguins got there how would the other species of penguins? Not every penguin is genetically the same because they’re labeled “penguins”.
All penguins have a common ancestor.
You want me to believe even the most northerly penguin species marched across an arid desert to hop on a boat?