Hello,
Last year I did an Access to HE course (Business) and am now attending University. However to answer your question, I had a guy in my class (Business!) who applied to do Computer Science at Wolverhampton University and got accepted. His offer was very low (just pass the course) so I cant comment on the quality of the degree, however it may encourage you to know that individuals studying a compleatly different course are able to apply for Computing, you will probably be more desirable to universities with your Access to HE: Computing.
Goodluck!