Two problems: "In island" is incorrect in English. It is always "on the island"
The second problem is more complicated. You say "there isn't any beautiful girl," but it should be "there AREn't any beautiful girlS" or "there ARE no beautiful girlS" (both of these are correct).
In English, there are two kinds of nouns. There are count nouns which are objects that you can count with numbers. For example: three oranges, five days, two girls. These words have plural forms.
Then there are mass nouns (or non-count nouns). These are nouns, but they cannot be counted with numbers. For example: water, gold, cotton. A very important thing to notice is that mass nouns have no plural form. There are no such words as "waters," "golds," or "cottons."
This is a difficult topic. But it is important for the sentence.
For count nouns: "There ARE NO ---S"
For mass nouns: "There IS NO ---"
"There are no girls on the island"
"There is no water on the island"