Yes but only if you specifically request this with DHL. You need to leave a signed note at the delivery address that says it's okay for your parcel to be left if you are not home. The signed note must clearly show your waybill number, your name and signature. We suggest you put the note on your door a few days before the estimated delivery date just to be sure.
In general, if you're not home to receive your package at the time of delivery, DHL will leave a delivery slip in your mailbox to notify you that they tried to deliver your parcel. You can then jump online and select from one of three options:
Note: DHL does not charge you extra for a delivery the next day.