Yes, if you stack two pure metal blocks together, the delocalized electrons can indeed move or jump from one block to another. In metals, the valence electrons are not tightly bound to individual atoms but instead form a "sea" of delocalized electrons that are free to move throughout the metal lattice. This mobility of electrons is what gives metals their characteristic properties such as high electrical and thermal conductivity.
When you stack two metal blocks together, the contact between them allows the delocalized electrons to move across the interface. This movement of electrons occurs due to the electrostatic potential difference between the two blocks. Electrons will redistribute themselves to establish equilibrium, and this redistribution can involve the transfer of electrons between the two blocks.
It's important to note that the extent of electron transfer depends on various factors, including the nature of the metal, the cleanliness of the surfaces, and the contact area between the blocks. Imperfections or insulating layers between the blocks could hinder electron transfer. Nonetheless, in general, when two pure metal blocks are stacked together, the delocalized electrons can move across the interface, facilitating the flow of electrical charge between the blocks.