Yes. Some mild white vaginal discharge is normal during pregnancy, and is likely due to the body responding to hormones. If the discharge ever becomes excessive, foul-smelling, cottage cheese-like, or associated with itching or discomfort, you might consider bringing it up with your doctor. In addition, if you have any vaginal bleeding or a gush of vaginal fluid, seek medical attention right away.
Probably. Much of early pregnancy discharge is normal. In such situations, there is generally not a foul odor, itching, redness, etc... May want to get it checked out, just in case.