Yes. Adult children do not have a right to inherit from their parents. However, how you disinherit your children can lead to complications after your death. Further reading: Deciding to Disinherit a Child
For minor children, the answer is more complicated. Families, including a spouse and minor children, have the right to exempt property or a family allowance. And if back child support is owed, then it can be claimed against your estate. Also, if you are paying child support when you die, all future child support might have to be paid before others inherit.
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