It is very possible! When I was pregnant with all 3 of my babies, I didn't show any other signs that I was pregnant except that I missed my period. Every woman is different in how their body handles a pregnancy, and every pregnancy in the same woman can be different as well. You can have all the symptoms in the first pregnancy while having none in the next. It just all depends, but it is definitely possible!
It's always possible. You dont have to have symptoms to be pregnant, while you can have symptoms and not be pregnant. Only way to know is to take a pregnancy test.