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No because the egg is most likely not implanted in your uterus and you have not started producing the hormones to maintain pregnancy. I would wait until you have a missed period. I know you say you are nursing Caitlyn and just lost a baby so it maybe hard to tell what is normal. I would wait a couple weeks and then check.
No. You shouldn't expect to get a reliable answer from a pregnancy test until your missed period. At this point, sperm haven't even reached the egg yet. It typically takes 2-3 days for the sperm to meet an egg, and then another 2-3 days before the egg implants in the uterine wall. And then it takes another 2-3 days for your body to produce enough hcg to provide a positive result on a test. That also means it takes at least 6-9 days before you start to have any pregnancy symptoms, but it generally takes longer than that for the hormone to have any effects on your body. So you'll need to be patient and wait until your next expected period.
Here is a good slide to look through. https://www.webmd.com/baby/slideshow-conception