The modern Hebrew (actually Aramaic [1]) alphabet and the Arabic alphabet are both derived from the Phoenician alphabet, which itself was derived (via proto-Sinaitic) from Egyptian hieroglyphs.
Egyptian hieroglyphs themselves may or may not be another independent invention; they arose shortly after Sumerian cuneiform, and there was contact between the two societies, but there's no evidence of direct transfer. It's possible that just the concept of writing was transmitted, but no one really knows.
[1] The alphabet that archaeologists call the Hebrew or Paleo-Hebrew alphabet is a slight variant of the Phoenician one, just as ancient Hebrew is a dialect on the Canaanite dialect continuum. The alphabet used to write Hebrew since about 300-500 BCE is the Aramaic alphabet, spread throughout the Levant by the Persians when they made Aramaic the lingua franca in their possessions west of the Zagros.
Egyptian hieroglyphs themselves may or may not be another independent invention; they arose shortly after Sumerian cuneiform, and there was contact between the two societies, but there's no evidence of direct transfer. It's possible that just the concept of writing was transmitted, but no one really knows.
[1] The alphabet that archaeologists call the Hebrew or Paleo-Hebrew alphabet is a slight variant of the Phoenician one, just as ancient Hebrew is a dialect on the Canaanite dialect continuum. The alphabet used to write Hebrew since about 300-500 BCE is the Aramaic alphabet, spread throughout the Levant by the Persians when they made Aramaic the lingua franca in their possessions west of the Zagros.