Yes. Example of a word that starts with B and ends with C: bacchic. barbaric. basic.
Bionic
basic, bubonic
climb crumb
Cobweb does, as does Cherub.
Confab and Cherub
Cash is a 4 letter word that starts with c and ends with h.
civiccoliccomic
xenophobic
ballistic
Czar is a 4 letter word. It begins with C and ends with R.
Chaotic, Catholic, civic, caloric
picnic for one