Entry is possible in other countries, but not in Sri Lanka.
Reason why this is not a popular way to get in to medicine is the costs and the time. By the time you have done nursing + medicine you have spent a large amount of time and money which you may never be able to recover.
Easier way is...
Found this drawing of Lankatilleke vihara by the same person
https://upload.wikimedia.org/wikipedia/commons/b/b5/Constance_Gordon-Cumming_Lankatilaka_Temple%2C_Sri_Lanka_1874.jpg