No information suggests Hamas had anything to do with it. It doesn't likely have access to drones or ability to operate them. Israeli officials claim it originated from Lebanon.
On October 6, Haaretz headlined, "The immediate suspect behind the drone that penetrated Israel: Hezbollah," saying:
The UAV "that was shot down by the IDF on Saturday came from the direction of Gaza -- but it does not appear that Palestinian groups are behind it."
Israel revealed few details. All that's known is the drone "penetrated Israeli airspace from the direction of the Mediterranean, around the Gaza Strip."
During the 2006 Lebanon war, it's believed Hezbollah launched several Ababil drones capable of carrying explosives. Reportedly they were intercepted and downed.
In 2004, another drone penetrated Israeli airspace. Hezbollah was named responsible. Whether or not it's true, who knows. In 2010, Israel claimed it downed an unmanned balloon near Dimona.
All that's known is what Israel said each time. Best to take its reports with a grain of salt. They rarely have credibility.
"What were the launchers of Saturday's drone looking for," asked Haaretz? "According to the size of the explosion caused by the (Israeli) strike, it appears" not to have been carrying explosives.