Does the US military have the ability to invade North Korea?

I know it did have the ability in the past (in fact the US did invade North Korea in the 50's), but today they have Nuclear weapons, so is a military confrontation with North Korea impossible?(since nukes can effortlessly wipe out any army)
Update: Oh and don't say N. Korea wouldn't use them, cause if the North Korean government saw its end coming with a US invasion they wouldn't give a **** about the repercussions of a nuclear war.
Update 2: Why the fukc doesn't anyone read the whole question? You just read the first sentence, make a quick response, then run away. My main point was the NUKES, CAN YOU INVADE A COUNTRY THAT HAS NUKES?
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