Ukulele Songs With 2 Chords

Definitely. Plenty of well-known songs need only two. With a single pair of shapes the change becomes automatic fast, which is exactly what you want in your first week of playing.

C and F, or C and G7. All three are basic ukulele chords that sit comfortably under your fingers and turn up constantly. C is the single easiest shape on the ukulele so it's a good anchor for whichever partner you pick.

Vary the strumming rather than the chords. Try a soft verse and a harder chorus, add a pause before the change or switch to single down-strokes for a line. Two chords go a long way once the rhythm moves.

Add Am and you're into three chord territory, which opens up a huge amount of material. Have a look at the three chord list once your first change feels smooth.