No, ScriptBody is an already parsed abstract sytax tree. The parsing does happen before the evaluation, in the ScriptEvaluationJob (sourceText):
- Parse sourceTextusingScriptas the goal symbol and analyze the parse result for any Early Error conditions. If the parse was
  successful and no early errors were found, letcodebe the resulting
  parse tree. Otherwise, letcodebe an indication of one or more
  parsing errors and/or early errors. Parsing and early error detection
  may be interweaved in an implementation dependent manner. If more than
  one parse or early error is present, the number and ordering of
  reported errors is implementation dependent but at least one error
  must be reported.
As you can see from the hightlighted sentence, ES does not really distinguish between parsing and lexing.
And of course, there is the following note that allows premature optimisation speculative parsing or using cached compilation results:
An implementation may parse a sourceText as a Script and analyze it
  for Early Error conditions prior to the execution of the
  ScriptEvaluationJob for that sourceText.
Parsing source code also happens in step 3 of PerformEval, inside Function and GeneratorFunction constructors and somewhen for modules.