With respect to the dish, you are probably right. Since bananas grow natively in Thailand, Malaysia and Singapore, it is quite likely that all of these countries share variants of this dish. As far as the Peranakan cuisine is concerned, it is quite a distinct one born out of the amalgamation of traditional Chinese and Malay cuisines. Chinese immigrants who settled in the then Portuguese colony of Malacca (in Malaysia), were influenced by the local culture, custom, cuisine etc and evolved into a distinct new culture known as Peranakan. The Peranakans can be found in significant numbers today in Singapore, and Malaysia clinging to their own cultural identity, cuisine, mode of dressing, etc.