Is it possible for an object to have a constant speed but be accelerating?

Yes. 'Acceleration' does NOT mean speeding up.

Acceleration means any change in the speed or direction of motion.

Speeding up, slowing down, or rounding a curve are all accelerations.

Any object that's not moving in a straight line is accelerating, even if

its speed is constant.

- - Your car is accelerating when you drive 30 mph along a curved road.

- - You're accelerating on a merry-go-round (carousel) or a ferris wheel

when it's speeding up, slowing down, or turning at a constant rate.

- - Your car is accelerating when you see a red light and step on the brakes.

- - You are accelerating when you jog around a circular track at gym.