Distance-wise - - yes - - if you are experienced and do a straight shot.
Where on the Colo border to where in Calif?
The Adventure Cycling Western Express route from Baker to Calif is pretty direct. In Utah it really loops about. Be aware that there are considerable distances between water and that it's pretty hot still. If you can ride 80 miles between water stops and can knock out 80 miles per day - starting early to beat the heat AND the prevailing lesterly winds - you might be able to do it.
Remember that Utah is the closest place to hell on earth. You have to be EXTREMELY careful of having enough water with you. People tend to be a little lackadaisical about that sort of thing and it can end up giving you some serious trouble if you aren't prepared.
On the other hand, Utah has some of the most spectacular scenary anywhere as well. And the people are pretty nice there as well.
Nevada is another place you want to be careful of. The distances between places is HUGE. Once you hit Truckee you're sitting pretty.
The Western Express route goes over Luther Pass and Kit Carson Pass. That's a nice enough route but the wiggle over to Placerville and to Folsom are on roads that are a bit narrow and have some rather stupid drivers on them as well. But it's nevertheless probably the best route.
Where will you be hitting Utah?
What is a couple of weeks? Two weeks? 14 days? Or perhaps a little longer.
Running 80 miles per day over lots of mountain passes -
From Blanding you could do Utah in 5 days
PROVIDED you cut northwest from Torrey outside of Capitol Reef to Loa, Salina, and Delta then US 50. That saves about 80 miles or one day.
Nevada - 6 days from Baker to the east side of the Sierras
Calif - 3 days
But it gives you no leeway for the unforeseen - diarrhea, mechanical problems, weather.
And although you can't predict exactly what - something WILL happen.
Unless you are very experienced, I wouldn't think of doing this in 14 days,