The question asks can you have a Catholic Baptism away from the Church.

The simple answer is that Baptism can be performed by anyone who professes it in the name of  theHoly Trinity.

While this counts theologically, it does not count formally in the church as each baptism is registered for the rest of that child's life. This does not preclude that the child will makae their own choices in later life and often Confirmation is identified as the conscious choice.

If you want your child to access formal Catholic education, get married in the church - then a record of this event is necessary.

The ritual is an outward sign of the spiritual aspiration of the community in welcoming and nurturing the child. It does not mean that children who have not had this - do without such support or spiritual aspiration - it simply acknowledges that the particular discipline of responding to God's invite to share in the support of people who are also trying to respond to God's challenge of living in his love is demonstrated.

It is not clear why you would wish to avoid the church ceremony - if you want your child to bear the blessing that Baptism is? 

Baptism is not simply a blessing it is a declaration that this child will be nurtured as a Christian by her or his parents and God Parents who are representing the wider Christian commmunity - if that is not going to happen - then you may wish to consider whether you are serious about the actual issue of Baptising your child?

Why not discuss it with your spouse and family as to how you want to bring up your child?