The short answer to this question is yes. I have spoken previously about oral Candidiasis on this post here: http://candidaquestions.probacto.com/19/can-i-get-a-yeast-infection-in-my-mouth.
Who gets it, what type of treatment may or may not be required. You will find that those who are suffering from oral thrush often find it spreads to the throat. The most common symptoms are a white coating in the mouth (on the tongue, cheeks, and in the throat) as well as some soreness in the mouth. If you have oral thrush, or a yeast infection in your throat, you’re going to want to take special care to not irritate the sores when you are eating.
No matter how you got your oral thrush, you’ll need to seek immediate treatment. Stay away from acidic foods, follow a strict anti-Candida diet, and rinse your mouth with an antifungal wash as often as your doctor recommends.