It most certainly is possible, and is done in many Parishes. It is a mistake to confuse the numerous and widespread abuses of the OF Mass with the OF Mass itself.
I already know where their website is.
That is what the Novus Ordo is, legitimized abuse. It was promoted without regard to centuries of liturgical tradition, which has the force of law. It was falsely rumored that the tridentine form was formally abrogated, which it never was. It kind of reminds me of how the health care reform is being jammed down our throats. By its fruits it is known.
It is rare to find Novus Ordo parishes where attempts at orthodoxy are made. I applaud people who try to restore some sort of orthodoxy to the liturgy, but they really do not have to do it on their own. The form is already there, the resources for learning are already available, no use reinventing the wheel.
I attended a midnight mass with stunningly beautiful music at Old St. Mary’s in Cincinnati this year. Unfortunately it was a Nervous Ordeal form. The lectionary readings were the worst “translation” I have heard in a long time. But it could be upgraded quite easily with the tridentine form underneath all those beautiful selections from Handel, JS Bach, and Palestrina. With the 1962 missal comes English translations of the Sacred Scriptures that are very close to the Douay Rheims. The King’s English as it were.