Not really. It's a pretty easy drive. It's not as bad as going to snow summit.
No, the roads to Mountain High are some of the easiest to any resort anywhere. Chains or 4x4 are very rarely requried and, whent they are, usually only for a mile or two before the resort. Please see here for current road conditions. http://www.mthigh.com/site/trails-and-conditions/conditions/road-conditions1.html
It's a pretty easy drive, I've never feared for my life on that stretch of the 138 or the 2.
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