A minor child does not have the right to refuse to see their parents, and one parent cannot refuse to grant the other parent time-sharing.
If it's found that a mother is preventing a father from seeing their shared child, for example, the mother could be found in contempt of court and liable for makeup timesharing. In more extreme cases, the court can change the timesharing schedule.
That being said, courts may consider the child's preference when determining a time-sharing schedule depending on their age and maturity level. The child's best interest is always paramount.