Yes you can.
Welcome to HCM.
You can eat dates anytime during pregnancy
Though ayurvedic practioners advise to avoid papaya & pinapple (due to high prostaglandin
content) in first three months of pregnancy to avoid abortion
, there has been no study to prove it. If you are very much concerned, you can avoid these two items in first three months. You can take it after completing three months. (We allopathic practioners do not restrict any food at any time during pregnancy).
Just try to avoid very fatty & spicy food (which can cause gastritis
& aggravate nausea
One good rule to reduce nausea during pregnancy is to keep dry toast/biscuits bedside, take them as first food immediately after waking up in morning. You can move legs in bed before getting up to improve circulation & reduce nausea. Don't take any food/liquids for half hour after getting up. This will reduce nausea to a great extent.
In first three months, normally appetite reduces & body's requirement (including baby's requirement) is very low. So don't take food forcefully. Eat as much as you can. Preferably take multiple small meals than few heavy meals.
Hope this helps you.
Let me know if you have other concerns.