Yes, if you are satisfied with everything except for a name of an existing company, you can change it with the help of an experienced advisor. It takes no more than 24 hours.
There are many preliminary checks and considerations that you should carry out before proceeding with a change of name. The name must not:
Be similar to the name of any existing company
Contain offensive or obscene words as determined by the Companies House
Constitute an offence
Give an impression that your company is connected to the UK government or the royal family.