Wait...let me check if this is right.
You are in a long distance relationship and are going to uproot to move to HK for your partner. But you only can afford 3 months without income ?
Is your partner not going to house you and feed you ???? Surely your partner can let you live rent free and pay for your food etc.
Or are you expected to uproot, move to HK, find your own accommodation, and pay your own expenses , split everything 50:50 and give up you career in Australia, and try to survive and sit the nursing exams ??
If you give up your life in Australia, the least your partner can do is to support you until you are sorted out with your exams.