“Morning” sickness?

My boyfriend and I had sex two weeks ago (I’m on the pill but I’m not great at taking it). Tonight I started feeling super nauseous out of nowhere and now he’s panicking thinking I’m pregnant and wants to go buy a test tomorrow but I think he’s overreacting. My period isn’t supposed to be here for another week and I tried telling him any test I took wouldn’t be accurate but he’s just scared and I’m trying to calm his nerves. Would I have “morning” sickness this early if I *was* pregnant?