(1) Yes, but you may find it stressful. Being what is called a "litigant in person" can be very tiring, especially if your neighbour opposes your application and employs a solicitor. However, speak to or better still visit Court Services who will go through the formalities and forms with you and fix a date. There is a Court Fee to pay. Plenty of photographs will be needed and a chartered surbeyor's report (�150 - �200).
(2) I'm afraid also that judge's are rather against litigant's in person, so it will help quite a bit if you can afford to take the chartered surveyor along with you.
(3) You will have to get your story straight in your mind, make it as simple as possible, and then be prepared to be very tenacious and keep on repeating the important parts of it and not shut up until the judge agrees to give you an Order.