Is the Catholic Church NOT against all birth control? Card. Kasper made the following comments in an interview with WNYC Radio’s Brian Lehrer as transcribed in this article ‘The Church is not against birth control at all’: Cardinal Walter Kasper:


  Lehrer asked whether married couples who already have “three children
  and live in poverty” should not be “allowed to use birth control to
  prevent more conception?”
  
  [Card.] Kasper responded, “Well, the Church is not against birth
  control at all. … It’s about the methods of birth control. … I
  do not want to enter into this characteristic…how they have to do it.
  It’s their personal conscience and their personal responsibility.”


The audio is here: The Pope's Theologian | The Brian Lehrer Show.

The question is whether the Catholic Church is NOT all against birth control, and from the Cardinal's words, whether there are licit methods of birth control.



cf. Catechism of the Catholic Church, 2366-2372 |  The fecundity of marriage
The Roman Catholic Church has always supported Fertility Awareness methods of family planning - previously the Calendar method as a form of birth control. The church is not opposed to family planning - only to methods they would consider equal to killing children who have already been conceived or otherwise frustrates the unitave marital act. Being open to what God would do in a marriage, even if precautions such as a calendar method are used, is important. Hence, Kaspar's very deft retort:


  Kasper responded, “Well, the Church is not against birth control at all. … It’s about the methods of birth control. 


This document in particular talks about Family Planning in the Catholic church.

As they state:


  At the first stage of life, centers for natural methods of regulating fertility should be 
  promoted as a valuable help to responsible parenthood, in which all individuals, and in 
  the first place the child, are recognized and respected in their own right and where every 
  decision is guided by the ideal of the sincere gift of self. (EV, #88) 


What they oppose is:


  It is therefore morally unacceptable to encourage, let alone impose, the use of methods 
  such as contraception, sterilization, and abortion in order to regulate births


Indeed, surprisingly perhaps for some, the church discourages abstinence for married couples, recommending instead Love and Life in the Divine Plan - which means sex, even sex for pleasure, as long as it is truly good sex - meaning within marriage. The church has long noted God's command to procreate.  It just needs to be done responsibly.