If you applied for university using UCAS, but did not get any offers then all is not lost. You can use UCAS Extra.
Extra is a service which began on 25 February. It allows students who have already applied to apply for another course. If you are unsuccessful with that application, then you can apply for another. This process can continue until you get an offer or the deadline of 2nd July is reached.
Whilst there are still courses and places available the closer the deadline get the fewer options you will have,
Remember, you can't change your personal statement. If you are considering a different course, you will want to speak to the university you plan to apply to and ask them if you can submit a new personal statement to them. If they say yes, then you will probably need to send it to them directly.