You can get a positive pregnancy test at 2 weeks as long as you tested for pregnancy 2 weeks after Ovulation.
If you test 2 weeks before Ovulation then you won't get a positive pregnancy test.
So make sure to wait at least 2 weeks or longer after ovulation before you do a home pregnancy test.
It can sometimes take a month after ovulation to get a positive pregnancy test result as well which has happened to me.
But my first pregnancy I got a good test result and positive test result of the pregnancy after 2 weeks after Ovulation.
Taking the pregnancy test too early can give false results.
So wait at least a few weeks or a bit longer after ovulation before you take the pregnancy test.