Coronavirus is generally associated with a dry cough and without congestion or phlegm, but it seems to be possible.
I think the percentages for some of the reported symptoms are inaccurate, but take a look at this study from 55,000 patients in China. The data is decent, but it doesn’t make sense that 88% reported a fever with only 11% reporting chills, especially when fever commonly causes chills.
Stay in touch with your doctor by phone and most importantly closely pay attention to your breathing. If your breathing is only mildly impacted, you won’t need to go to the ER, but if your breathing becomes a significant problem, you will need to go to the hospital.
Getting properly diagnosed right now is going to be hard. There are not enough tests in the US to figure out what’s going on and if you have mild coronavirus symptoms then people won’t want to see you in person. Talk to your doctor about this. Bacterial infections require antibiotics (more often associated with productive coughs) but you can clear most viral infections on your own. But coronavirus is so widespread in the US now that it is probably the most likely culprit.
Do you live in the US?