Especially if they started as a toddler?

I know everyone says the first year sucks but this is seriously f'ing ridiculous I feel like. I'm losing my mind. LO is almost 2 and she has been in daycare less than 3 months. In that time she got a bad cold. Then she got a little cold that turned into a double ear infection (urgent care visit + 10 days antibiotics). Then she got another bad cold. Then she got pneumonia (ped appt + 10 days antibiotics). Then she got an unknown fever/lethargy illness that lasted almost a week and I think was roseola (urgent care). Now she has a runny nose/fever/awful cough and I'm thinking we're going to end up at the ped again tomorrow because the cough is keeping her up and was so bad she threw up today.

I mean... less than 3 months. I have to believe this is not typical? That this cannot possibly last a year? I just need to believe we're having a string of bad luck and we'll get some longer stretches of non-illness soon.