It's complicated but my reading is that the offence is a qualifying offence but the police would need to gain consent from the Director of Puplic Prosecutions.
They'd need to show "new and compelling evidence"
New basically means evidence not submitted at the original trial.
Compelling is defined as (a) reliable, (b) substantial, and (c) in the context of the issues in dispute at the trial, it appears highly probative of the prosecution case against the acquitted person.
There's also some stuff about it being in the interests of justice and the public interest.
The requirements are all here if you're interested.
http://www.cps.gov.uk/legal/section19/chapter_ j.html