There was an article a few years ago where it was thought that certain one-celled organisms (found near Chernobyl) used a form of melanin could use energy obtained from radiation.
"Ionizing Radiation Changes the Electronic Properties of Melanin and Enhance"s the Growth of Melanized Fungi". The introduction to the paper is pretty fascinating...
The term “melanin” originates from melanos - a Greek word for black. Melanin is a high molecular weight pigment, ubiquitous in nature, with a variety of biological functions . Many fungi constitutively synthesize melanin , which is likely to confer a survival advantage in the environment  by protecting against UV and solar radiation [reviewed in 4]. Melanized microorganisms inhabit some remarkably extreme environments including high altitude, Arctic and Antarctic regions . Most dramatically, melanized fungal species colonize the walls of the highly radioactive damaged reactor at Chernobyl  and surrounding soils . These findings, and the laboratory observations of the resistance of melanized fungi to ionizing radiation , , suggest a role for this pigment in radioprotection.
The role of melanin in microorganisms living in high electromagnetic radiation fluxes is even more intriguing when the pigment is considered from a paleobiological perspective. Many fungal fossils appear to be melanized , . Melanized fungal spores are common in the sediment layers of the early Cretaceous period when many species of animals and plants died out which coincides with the Earth's crossing the “magnetic zero” resulting in the loss of its : “shield” against cosmic radiation . Additionally, radiation from a putative passing star called Nemesis has been suggested as a cause of extinction events . The proliferation of melanotic fungi may even have contributed to the mass extinctions at the end of Cretaceous period . A symbiotic association of plants and a melanotic fungus that allows for extreme thermotolerance has been attributed to heat dissipating properties of melanin . Melanotic fungi inhabit the extraordinarly harsh climate of Antarctica . Hence, melanins are ancient pigments that have probably been selected because they enhance the survival of melanized fungi in diverse environments and, perhaps incidentally, in various hosts. The emergence of melanin as a non-specific bioprotective material may be a result of the relative ease with which these complicated aromatic structures can be synthesized from a great variety of precursors , , , –.
I think that this could be in the realm of genetic engineering, and suggests that it could also be of use in the cold, harsh environment of the moons of Jupiter.
I suppose you could also have a different type of approach where the damage could be measured and corrected through some type of gene therapy that could be used in combination with genetically engineered organisms.
Jupiter is far enough away that the light from the sun will be dim, so there may be need to collect or focus the sunlight. If it is about 1/25 the intensity of light on earth then instead of capturing about 1000 W/m^2, there would only be about 40 W/m^2 so some type of artificial lighting might be necessary. So that might also figure into your genetic engineering.