Hi

HI I fell inlove with the place and I am wondering if I can buy a property? THanks.

I won't be able to provide you an answer but I'm afraid that nobody will be able to provide it if you don't tell us what's the place you are talking about.

The OPs home country is "not specified".

If you have enough money; yes, yes you can.

Not always- depending on which islands. Some allow only natives- even big bucks won't allow you to buy property. You can rent , but not buy.