"Hot" nuclear fusion (this is not the term normally used) is exactly what the name implies, the materials are heated, which provides them with enough energy to overcome the normal repulsion of protons. Cold nuclear fusion requires no heating and has not yet been proved, although dozens of Physicists and Electro-Chemists have claimed to have created cold fusion. Cold Fusion relies on other forces, such as pressure, to overcome the electrostatic force of repulsion.
Yes
Florida Fusion was created in 2009.
PHP-Fusion was created in 2003.
TT Fusion was created in 2006.
Fusion Systems was created in 2005.
Crowd Fusion was created in 2007.
Fusion-io was created in 2006.
Collaborative Fusion was created in 2001.
Cleveland Fusion was created in 2002.
Dark Fusion was created in 1988.
Pizza Fusion was created in 2006.