Can you use a regular needle for cross stitch?

You should use Tapestry needles versus regular needles for cross stitch because cross stitch fabric already has 'holes' and one does not have to pierce fabric as in sewing with regular needles.

The recommended needles for cross stitch are called Tapestry needles that come in a variety of sizes. The most common size is either 24 or 26 as when one is using two strands of cotton thread. A Tapestry size 28 needle is recommended for one strand of thread or silk fibers.

John James 28 Tapestry Needles