If non-payment of alimony is the only reason for termination of parental rights, then the answer is NO.
Failure to pay alimony can be used as additional evidence for a decision to terminate parental rights, however, it cannot be the only reason.
However, the court may consider this fact along with other evidence. It is important to note that parents are obliged to support their children until they reach the age of majority. In case of non-payment of alimony, parents may be held civil, administrative or criminal responsible.