Yes you can freeze raw carrots.
When freezing raw carrots you should blanch the raw carrots before freezing them by dunking the raw carrots in some boiling water for a few minutes.
Blanching the raw carrots helps get rid of the enzymes that can make the carrots go mushy and change color when frozen.
When blanching whole carrots you should blanch the whole carrots for 5 minutes and for sliced carrots you should blanch the sliced carrots for 2 minutes.
The carrots when frozen will last up to 1 year in the freezer but the carrots are not as fresh after 6 months.
So it's best to eat the frozen carrots within 6 months of freezing them or even sooner so they will be more fresh.