Throwing a fit if something is taken away?

So, my daughter is 4 months old (19 weeks tomorrow) and for the past few days she's been crying (borderline throwing a fit) if something is taken away from her. On her Mamaroo, there's these dangly toys and she likes to pop the toys off of it then rub the plastic part on her face and try to eat it. We have been moving it away from her when she does this and she follows it as we spin it around and reaches for it then starts crying when she realizes she can't get it. Is this normal? I figured they wouldn't start this for a while getting upset when something is taken away.