Yes you can switch with all the necessary records in order. Why don't you want credit your hours?
It might be better that you can complete your ATPLs then move.
As you have not completed your ATPLs your problem might be matching what subjects you need to take at your new ATO. Not all ATOs follow the same ATPL course subject breakdown/modules, so you might have passed some subjects but not others. However, it is possible & your new ATO will do their best to fit you in but it's a question that you need to ask.