Yes, we would expect the bonds in ammonia to be polar covalent. The nitrogen atom in ammonia has three lone pairs of electrons, while each of the three hydrogen atoms has one valence electron. When these atoms bond, the valence electrons from the hydrogen atoms are shared with the nitrogen atom to form three covalent bonds. However, the nitrogen atom has a stronger attraction for electrons than the hydrogen atoms, so the electrons in the bonds are pulled more towards the nitrogen atom. This creates a partial negative charge on the nitrogen atom and a partial positive charge on each of the hydrogen atoms. This results in a polar covalent bond between the nitrogen and hydrogen atoms.