Yes.
Because there is no harm in it.
No, the children don't grow up psychologically damaged. Children who grow up psychologically damaged are from households who do not want them, or are not ready for them. Families who are looking to adopt are in the perfect place for having a child, as they have been preparing and are grateful for a child, plus they must be investigated to see if they are fit. And people can also have children without marriage, you do not need to be married to adopt. So it is an unrelated point.