Yes you can get an offer with higher requirements than what you got for your AS levels, try to get your predicted grades to match or exceed the common entry requirements though.
A uni will sometimes give offers below the common entry requirements if the student has had extenuating circumstances with has negatively impacted their exam results, or if your school is particularly low in the secondary school rankings (especially if you have done much better than the majority of your classmates). Also, if you have done extra things such as an EPQ or the AQA Baccalaureate then your entry reqs might be lowered