No, Claire Wilson does not get pregnant in the miniseries A Teacher.
As depicted in the series, the 32-year-old Claire Wilson begins her new role as an AP English teacher at Westerbrook High School in Austin, Texas, in 2013. A significant aspect of her personal life explored early on is her deep dissatisfaction with her marriage to Matt. A key source of this discontent and a recurring struggle for the couple is their inability to conceive a child. The narrative establishes that despite their attempts, Claire and Matt have been unsuccessful in having a baby. This personal struggle with infertility is a central theme contributing to her emotional state and decisions throughout the series.