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It is always helpful and useful to start with definitions
From the "PENNY CATECHISM" under Grace and Prayer
139 What is Grace?
Grace is a supernatural gift of God, freely bestowed upon us for our sanctification and salvation.140 How must we obtain God's grace?
We must obtain God's grace chiefly by prayer and the holy Sacraments.
And From the "PENNY CATECHISM" under Baptism
256 What is Baptism?
Baptism is a Sacrament which cleanses us from original sin, makes us Christians, children of God, and members of the Church.
Answering
It readily follows since Baptism is a Sacrament, a means by which we obtain God's grace, a supernatural gift1 of God, freely bestowed upon us for our sanctification and salvation, it is not a right but a gift freely given to be freely and worthily received.
1. cf. gift definition.