Edit: I don't mean for this to sound ad hominem or overly pointed, but I've been shocked a lot lately--in the context of all these boycott discussions and so forth--by a widespread lack of basic energy density literacy.
I'm no physicist myself, but I think the world could use a fast lesson in just how much energy is stored in oil and gas, and in concepts like EROEI. Without it, it's very hard to put the relative quantities in perspective and understand why it's so difficult to eliminate, substitute or reduce fossil fuel use, or why ramping up production or retooling for different inputs is something that happens more in decade time-scales than weeks or months...
As sibling comments have intimated, the amount of power required even for a midsize city vs. what a small nuclear reactor on an aircraft carrier could provide is just stupefying. It's a microscopic contribution. Moreover, the energy in a single 42 gal barrel of refined oil (~5.8 million BTUs) is enormous. Matching that in any kind of reasonable way is not impossible, but it's an insanely difficult problem with no quick or easy solutions.
They could, but not in enough to help the continent as a whole. A nuke carrier could power a small city, but there are only 11 of them, and most of them are kinda tied up right now…
Also, powering 11 small port cities wouldn’t make a dent in the overall energy needs for an entire continent.
tl;dr about 5%, if you take very conservative values.
I decided to do the maths at a very basic level. Nimitz class carriers produce about 1100MWth between their two reactors. Gerald R. Ford classes put out about 1400. There's 10 of the former and 1 of the latter. This gives a total generation of 12400MWth accross them all, assuming you could some how take their entire thermal generation and make it offboarded electricity.
1 Barrel of Oil Equivalent is 1.7MWh, thus you need 14.12 barrels per day to generate 1MW constantly. According to the OP article, Russian exports to OECD Europe are about 3 million barrels per day, or about 212500 MW/day.