FIle Transfer broadcasting

Yes it can be done. Jakuje is right that it cannot be done in TCP, however his reply does not cover UDP, which is instead used exactly for this.

I used for some time this Java program to do this, but then I discovered that Clonezilla can do it,

Multicast is supported in Clonezilla SE, which is suitable for massive clone

and this gave me the motivation to look into how they did it: the authors of Clonezilla themselves state they use UDPCast for this, and this is all: UDPCast's Web page states

UDPcast is a file transfer tool that can send data simultaneously to many destinations on a LAN. This can for instance be used to install entire classrooms of PC's at once. The advantage of UDPcast over using other methods (nfs, ftp, whatever) is that UDPcast uses UDP's multicast abilities: it won't take longer to install 15 machines than it would to install just 2.

It is in the repos for the distros I use (Debian, Kubuntu, Arch Linux), so I presume it will be in just about all repos.