Do half sibling have the right to the other sibling property when they die?

Possibly, however, you would have the same rights she would have if there is no will. Under the laws of intestate succession (person dies without a will), you would receive equal treatment. If you would like to provide more information, I would be able to answer you more accurately.

If the deceased wrote a will, then the will controls the distribution of their property. If the deceased didn't write a will, then their property will go to: Their spouse and descendants, if no living spouse or descendants, Their parents, if no living parents, Their siblings, both half and whole blood in equal shares, if none, The descendants of their siblings, if none, The descendants of their grandparents And so on for seven generations, If their are no surviving descendants of their ancestors going back seven generations, then the state gets it.