LISP borrowed the "lambda" word from lambda calculus (not the Greek symbol). It didn't implement the lexical scope of lambda calculus, and provided lots of semantics other than lambda-calculus-like function application right off the bat.
Let's see: lambda calculus has no representation of its own code; it is not code. In lambda calculus, there is no QUOTE. There is no CAR nor CDR to walk around the code, no EVAL.
In lambda calculus, there is no mutation: no SETQ, no RPLACA.
Pure lambda calculus has no terms other than functions (unless extended); LISP had symbols, numbers, conses right off the bat. Arrays and character strings came soon.
All in all, equating Lisp with lambda calculus is silly.