In the Latin Rite there have been numerous forms of the Mass. Because the Mass as said in Rome was, in general, the standard, the variations were not great. Just prior to the normalization of the Mass following Trent, there were some 20 different forms of the Mass: most major religious orders had their own (the Dominican, Carthusian, Franciscan and a couple others still exist). There were also the Ambrosian, Gallican and Mozarabic forms of the Mass (the Ambrosian is still in use in Milan and the Mozarabic is still used in one chapel in Spain).
In the Byzantine Rite there are the Divine Liturgies of St. John Chrysostom and St. Basil, but the only significant difference is found in the Anaphora (St. Basil is somewhat longer). There is also the Liturgy of the Presanctified.
So, the answer to the question is – yes.
Deacon Ed