Yes, you can receive child benefits in your home country and apply for it also in the Germany.
The entitlement to child benefits arise in the country where the child lives (if one parent is employed there). If the parent is on maternity or parental leave in the home country or is unemployed, you can only claim child benefit in your home country.
If child benefits are paid in the home country, it is possible to claim a compensatory allowance in Germany. On the basis of the application, the German Familienkasse will calculate the entitlement to the allowance and offset the resulting amount against the amount of the allowance paid in the home country.
The final sum of the benefits from both countries will be equal to the maximum amount in the Germany.