There almost certainly is a distant relationship. Almost all writing systems in Eurasia are derived from the Egyptian hieroglyphics through the Phoenician script, which gave us the Greek, Latin, Syriac, Hebrew, Arabic, and the Brahmi script, among others. The only system in use today in the whole world which isn't derived from Phonecian is Chinese and even there its derivatives like Japanese kana and Korean hangul were influenced by knowledge of alphabetic writing via India.

To find something unrelated would be monumental and would suggest another culture independently invented writing, something known to have happened only a few times (Egypt, China, Mesopotamia, Mayans, maybe the Indus Valley civilization, plus a handful of other disputed instances).