No. This post won't provide you with any new information, but it might be helpful to someone else.
I have provided some coverage to the ideological contents of early fascism here and here, as well as a more concise summary here and something more on fascism being identified as right wing since before it became politically relevant.
And, if you want, something on the origin of the name Fascism itself.
Of course, more can be said (and asked) about the issue, and one can seek for more nuanced definitions - but the answer to your specific question is, very much, no.