Could large hands and shoe size mean you will be taller?

Growth rate factors: Yes in children you can estimate what the size /growth of the feet or hands may be by x-rays ; when there is more volume in the cartilage anlage or precursor to bone, growth at epiphyseal plates may be increased and dictate the height ( length of the long bones such as in the legs ).

Taller: Yes - as stated very well already.