No. REST is an architecture style, and HTTP 1.1 is one of the implementations very closely following REST style. But REST is not limited to HTTP, it can be applied to other areas as well.

A little bit history here. One of my friends, Jun, worked at CERN around 90’s. He witnessed the birth of HTTP there. He said that the scientists need to share tons of information about particles, and HTTP was invented for that purpose. The scientists never imagined at that time HTTP changed the world forever, and we now call it World Wide Web.

The HTTP evolves over the years. Fielding developed the REST architectural style while worked on HTTP 1.1 of 1996–1999.