So, you are going to need to do a few things....
1. You need to research veterinary schools in the US and see which ones accept transfer students.
2. You will need to contact these schools to see if they have space within the current class for you to transfer in. Just because they accept transfers, does not meant they will have a seat available.
3. It is kind of late in the semester now to start the whole process and be able to transfer in by January, so you might have to wait to transfer in starting your second year. However, you will have to look at the school websites and see when application material for a transfer into the spring semester needs to be submitted by.
4. Be prepared to possibly have to retake some courses or even be dropped down into the year below. No two vet schools are alike in curriculum and while many are quite similar there are sometimes enough differences that you might have to drop down a class to be sure that you have received all of the courses that you need for the degree. You can attempt to avoid this by looking at the curriculum on the schools' websites of which you are interested in transferring into and seeing what courses they have taken thus far and compare them to the best of your ability to the courses that you have taken thus far. While this might keep you from having to repeat a year, it may not and even if something seems really similar to you, they may still have you retake a course.
5. Are you struggling in anatomy to the point that you may not pass? I ask this because you need to have at least passed everything and some schools have GPA requirements for transfer students. They also ask for a letter from your current veterinary schools dean stating that you are in good standing. This typically means that you have not had any academic or behavioral probation issues. I doubt that you have, but just figured I would make you aware of this aspect.
6. You will need to explain your reasons for transferring. Be prepared to explain these in a personal statement type of essay. You don't need to expand deeply upon the reasons. Just state exactly why you are seeking a transfer and what you can bring to the school. Be honest, but don't dwell on the negative. Stating that you have some health problems and island life does not provide you with as good of medical care as you can obtain in the US is enough. You can explain that island life is exacerbating the health problems as well if you want. But be honest, explain, don't dwell and then focus on the positives of what you can bring to the school.
7. Whether or not you have a "shot" at transferring really depends on if the schools you are interested in have an opening, how many others are applying for a transfer, and also a bit on your current grades in comparison to others applying for a transfer.
Transferring is possible, it can be done. You are going to need to do some more research on the different US schools and see which ones you want to apply to for a transfer. Then you are going to need to contact them to see if they have an open spots. It will take some work and some communicating with different schools and people within your own school in order to get all the pieces together, but it can be done.