No, that is not Church teaching. Whoever teaches that is, objectively speaking, tainted with the heresy of Puritanism. Whether he is a formal heretic I have no idea. But that is not Church teaching.
Church teaching is that you cannot deliberately frustrate the procreative act, so that it will not result in a pregnancy. You cannot willfully separate the act from its natural consequences.
This includes all methods of birth control -- which includes actions the man/woman might take, as well as any substances or devices the man or woman might use, to prevent a conception from taking place.
Beyond that, all normal sex within the bonds of marriage is licit.
Even if a woman happens to be sterile, or can't become "more pregnant", it doesn't thereby mean you are splitting the act down the middle (I want the pleasure, I don't want the consequences) so it is still licit. The act has to be a package deal: the act/pleasure, and any consequences that will result.
There are three ends of marriage: begetting of children, mutual love of the spouses, and the allaying of concupiscence -- in that order. They are all legitimate ends. You just can't FRUSTRATE the primary end and jump to the secondary or tertiary ends. If the primary end is "N/A", it doesn't mean you can't have the secondary and/or tertiary ends of marriage as a legitimate intention.
The evil of birth control consists of "splitting" what is a cohesive act into 2 distinct elements, and welcoming one while rejecting the other. Similar to the evil of bulimia.
The act of nourishment isn't sinful. But even if you have severe diarrhea and there's no chance you're going to absorb some of that delicious food doesn't mean you're intentionally gagging yourself so that you can enjoy the taste without absorbing any of the nutrients (and calories).
Fr. Timothy Pfeiffer was trained by the best, he was and is a very holy and learned priest, and he was the priest who handled our marriage preparation. He never once said anything about "As soon as she's pregnant, it's hands off, man!" Fr. Timothy Pfeiffer is no liberal.
This is the same priest who mentioned in the wedding sermon that marriage is for life, and that if you ever find yourself divorced, you need to get back with your true wife (right in front of my wife's divorced father, who divorced his wife and married another!) And I guarantee you he didn't make any friends in that quarter. So Fr. Tim Pfeiffer is also no slave to human respect. He takes his responsibility before God very seriously. If something needed to be said, he said it. To the point of being outspoken and socially awkward.
(N.B., for those who don't know, I am referring to Fr. Timothy Pfeiffer, the older brother of Fr. Joseph Pfeiffer. Fr. Joe Pfeiffer gets all the press around here. Fr. Tim Pfeiffer is currently living an austere missionary life in Asia. I recently heard that Father has lost weight and he looks quite gaunt. What an edifying priest!)