Most likely, though you would need to speak with your doctor for individual information. For some women the symptoms of a thyroid problem dissapear with the pregnancy, because the changes in the body for the pregnancy.
Yes, you may have a healthy pregnancy with a thyroid problem, most women suffering from thyorid issues can become pregnant with out help and will have a normal pregnancy and normal birth experience,
You cannot have a healthy pregnancy with thyroid problems. It will hurt or kill the baby. Having a thyroid problem could result in serious problems like anything could happen sooo...