Yes!
If your phone and your dad's phone have bluetooth, you can send the ringtone by activating bluetooth on both the phones or if you have a latest phone you can also send the same as a multimedia message.
Sending ringtones that you purchase for your phone are general only for your phone and can't be sent because they are locked. If you create a ringstone you can often send it through text message or save it as a sound and send it.
Sometimes their are restrictions due to service providers. In most cases you can either send the ring tone in a media message, picture message, or by blue tooth if the phone has it.
First you take your mobile phone and select a ring tone you like and send to your father's mobile phone your father will receive the ring tone with in two minuate.