I’m not sure if the simple “no” answers are helpful here, as the OP perceives a similarity with the discipline of celebacy among our priests and religious and the discipline of abstaining from meat on Fridays, particularly during Lent.
In this verse Paul is making reference to the gnostics, who would soon gain some momentum. Because they believed that the physical body was evil, they forbid marriage for everyone. In the Catholic Church, as earlier posters mentioned, marriage is not forbidden to anyone. However, there are several places in Scripture where celibacy for the kingdom is upheld and praised, even as being superior to marriage. These verses also come from Paul’s writings, so we know that he doesn’t condemn celibacy. In the Catholic Church, while nobody is forbidden to marry, many chose to do so in anticipation of the eternal marriage with our bridegroom Christ. The Church choses her priests from among such men, rather than chosing priests first and then forbidding them to marry.
With regard to the reference to abstain from certain foods, this again refers to early heretical groups that taught that some foods were outright, unconditionally bad, and forbidden. The Catholic Church, on the other hands, realizes that all that God has given us is good, including meat. So, in asking us to abstain from meat on Fridays (only during Lent in the U.S. and Ash Wednesdays), the Church is not proclaiming a certain food bad, as are the groups to which Paul is referring, but is rather saying that we must take breaks from things we truly enjoy and desire in order to develop temperence and to unite our sufferings with Christ.
The verse only seems to indicate the Catholic Church when read out of the historical context.