Could i be pregnant this soon?

Ok first day of my lmp was jan 21 and I have a 21day cycle, so my fertile days were 1/26 – 1/30. The DH and I BD’d on 1/24, 25 & 26. This morning 1/27 when I got up for work I was extremely dizzy, very crampy like AF is here and last night my husband went to a friend house for about 15 minutes and when he walked in I got nauseous because I was able to smell his friend’s cat (his friend lives 30 minutes away). Could I have gotten pg on those days and implanted already to have symptoms that fast?