No, I am a Catholic.
If it were God's will that all men go to heaven then He would have skipped this whole earthly charade and created us in heaven. There was a reason God created free will and that reason was that He has reserved heaven for those who have accepted the gift of Grace and obeyed* Him.
*CCC - 144 To obey (from the Latin ob-audire, to "hear or listen to") in faith is to submit freely to the word that has been heard, because its truth is guaranteed by God, who is Truth itself. Abraham is the model of such obedience offered us by Sacred Scripture. The Virgin Mary is its most perfect embodiment.
So then Jesus did not die for the sin of all men? That a limited atonement there .