I am not feeling well and I am 35 weeks pregnant but my duedate is on July 9... is it possible for me to gave birth as early on my duedate...

Yes, anything is possible. The due date is a set curve that most women experience. Nature doesn't always follow that curve for any number of reasons. Is this a single pregnancy or multiple? Be sure to call your doctor and advise him of the situation.

35 weeks is not ideal, but its certainly possible. I was only 32 weeks when I gave birth to my daughter.

Yes, it's possible. But the longer the baby stays inside you, the better it's likely to be. In late pregnancy, you get a lot of strange feelings. If you think there is something wrong, go to your hospital and get it checked.