I don’t have documentation for this, but I was once told by a priest I knew that any priest who has faculties for celebrating Mass in his home diocese or other ecclesial jurisdiction, and who has not been explicitly denied faculties to celebrate Mass in the diocese or other ecclesial jurisdiction that he is currently in if he is not at home, may celebrate Mass privately anywhere he wants unless the Ordinary has explicitly restricted where that priest may celebrate Mass or where all masses in that diocese may be celebrated, with “privately” understood not to mean that other people may not be present.
So yes, unless the Ordinary of your diocese has forbidden a particular priest to celebrate Mass in your home or in any home within his diocese, or has forbidden the celebration of any Masses by any priests in your home or in any home within his diocese, then a priest may celebrate Mass privately in your home and you, your family or other people may be present.
Reasons for celebrating Mass in a private home may include that an ill person who is unable to leave that house would like to attend Mass, or some other good reason.