No , you need to have Decision and Finality of Annulment before you marry in the US or the UK.
Once you got the Decision/Finality of annulment papers it will be annotated on your NSO Marriage certificate , this documents is very important to show any embassy that the previous marriage is nulled and void,...the previous marriage will still appear in the NSO if applied Cenomar but the annotated copy will support the documents and is free to marry again.