Greetings in that Divine and Most Precious Name of Our Lord and Savior Jesus Christ!
If you are ideologically biased then either yes or no. If you look at the historical record, then the answer is no, we were all one Church until the Council of Chalcedon where the first splits occurred, and then again just before the Crusades when the formal split between East and West occurred, and the terms "Catholic" and "Orthodox" took on entirely different meanings. One Church is not older than the other, because we shared a common unity, common saints, common councils, common canons, common dogmas. We were divided logistically by geography, but never ontologically by ideology or theology. It was ONE Church until folks came up with the idea of two, just as we were one human race until Cain decided that for some reason or another Abel was different. Since then, its been a battle to keep the centrifugal forces of sin from breaking the human race apart. The theme of the past several thousand years is human communities increasingly coming together only to further splinter apart. The process of nationalization continually shrinks in range and scope, so that smaller and smaller groups become increasingly unified. It is an interesting paradox, that the same exact threads of history which continually bring communities together in the longer scheme, are exactly the same threads which in actuality break us apart. The desire to be one, also inherently increases the desire to define who isn't part of the oneness, and in time, seeking distinctions becomes more apparent then seeking harmony.