No. In the official Scrabble dictionary there are lots of four-letter words containing two i's, but no three-letter words.
diedietliepiequiettietierviewwienerpierrecipientliedfield
Some words with a double 'h' are:bathhousefishhookhitchhikerhighhandedroughhewnroughhouseshhwithhold
4th grade homework? We came up with build and guide and calling it done and dumb.
zodiac
build
guide
quiz, buissness
Some words with 'ui' pronounced like 'ou' in 'you' are: fruit, juice, cruise, and cuirass.
Some words with the letters "ui" and the long I sound are: fruit, suit, fluid, bruise, cruise, pursue, and recruit.
Here are some two-syllable words with "ui" in them: Guilt Fruit Built
words containing the "you": your youth young
I think it is grieve weigh and feint.
Words containing a hyphen (-)
quiche. suite is a similar sound
Some words containing the root socius include society, associate, social, and sociable.
Youichi Ui was born in 1972.