Can I file for child support while waiting for court hearing this Dec 12, 2013 for paternity test?

You can file for child support now, and in most cases it was already done as part of your paternity petition.  However, the court is not authorized to issue any order of support, even a temporary order, until paternity is established and the court issues the order of filiation.  In other words, until you return to court on December 12, 2013 to hear the results of the DNA test, even if you file for child support you will not be entitled to receive any until after December 12, 2013.