It is very unlikely. The fireball radiation contributes something like 40 billion photons for every volume of space about 7 meters on a side; about the size of a living room in a house. This radiation cannot be shielded for very long just as there is no way of putting an ice cube in an oven with some clever shielding, and expect it not to melt eventually. Because the Big Bang issued forth from every cubic centimeter of space, the fireball radiation now present in the famous 2.7 K cosmic microwave background, is ubiquitous. There are no places in the universe that could be shielded from this 'heat bath'.

There are some places, however, that can reach very low temperatures for a cosmologically short time. even temperatures below the 2.7 K limit.

Earth laboratories can reach temperatures of one millionth of a degree Kelvin for a few hours.

Recently astronomers discovered a nebula where temperatures near 1 K were detected. This has apparently been going on for the lifetime of the nebula which is probably less than a few million years. The place is 5,000 light-years from Earth in the constellation Centaurus. It's the Boomerang Nebula: a cloud of gases that are being expelled from a dying star. Unlike most nebulae, which are warmer than the pervasive, but frigid -270 C (-454 F) background glow from the Big Bang, the Boomerang Nebula's chill wind is -272 C (-458 F). That's just 1 C above absolute zero the temperature where atoms theoretically stop moving altogether. (see below)

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