Many women undoubtedly experience pregnancy symptoms as early as around seven days past ovulation and around seven days before their missed period.
Most at home pregnancy tests are not going to give you an accurate result this early on though, so you'll need to sit tight (I know it's so hard when you're trying to conceive!) until it's the right time to test.
If you use an early result brand like First Response (their early results products), you can usually start testing around five days before your period is due to start, though the odds that the result will be accurate goes up drastically the closer you get to the start of your menstrual cycle. Personally, I have never had an accurate result earlier than four days before my expected period.