Etymolgy question: Are "Cache" and "Cash" related?

Random question: Are “Cache” and “Cash” related? A quick Google indicates that Cache comes from a French word for “to hide”, and Cash comes from an Italian word for a money box. Are the two words related, does anyone know?

According to www.merriam-webster.com,

Hmmm, a press can be a sort of case. [See press->noun->11]