That it is unmistakably not. Give me a chance to test you with a trap inquiry: what number children did Jason murder in the main motion picture? The answer is none, since Mrs. Voorhees, his mom, did the majority of the killings, in retribution on the camp advisors who let her cherished child suffocate in Crystal Lake.
Mrs. Voorhees is beheaded toward the end of No. 1, and again in the new form, so the new motion picture is in fact a revamp up until that point – yet the beheading, in spite of the fact that went before by a few killings, precedes this present film’s title card, so everything after that point is new.