Hi,
Yes, a foreigner can buy property in Jamaica.
Whether it is complicated or not is very relative. It is no more difficult to buying a house in the UK. The first step is to find a realtor/estate agent and then find some properties on the MLS, within your budget, that you wish to view. The realtor will be able to guide you through each step.
Having a UTN (tax number) makes the process easier. Your realtor will be able to produce a checklist for you.
I highly recommend Dee from KellerWilliams her number is 001 876 778 9009