"had wrapped up" is correct and usable in written English
It is a past perfect expression, which means an action has been completed in the past before another action happened. Example: By the time I arrived, the meeting had wrapped up.
The bank said the S.E.C. had wrapped up all the investigations into those types of deals.
It was a gut-wrenching end to a playoff that he nearly had wrapped up before even arriving at Homestead.
One day, Laura presented the pastor with some plastic puzzle pieces that she had wrapped up in a bag.
LAST week, the federal government announced that it had wrapped up its work on the Sept. 11 Victim Compensation Fund.
Through the Olive Trees, five years previously, had wrapped up with a proposal of marriage and a subsequent conversation conducted in the distance, out of earshot.
But, at the end of the arguments, after Wessler had wrapped up his response to Dreeben and was about to sit down, Justice Samuel Alito stopped him.
"The Kids Are All Right," which he had wrapped up before leaving California, opened last year to rave reviews, drawing four Oscar nominations, including his own for best supporting actor.
It probably would have been better if none of these things had happened, which is to say that it would have been better if the show had wrapped up by Season 5 or 6.
The game took place a few hours ago but, by the time Liverpool had wrapped up a decent 2-1 victhey, the footage had been broadcast, consumed and re-packaged for a global audience.
The country music soap opera had wrapped up every storyline splendidly and then, in the last seconds it will ever air on the network ABC, it put the life of country star Juliette Barnes Hayden Panettierree) in jeopardy.
This was a game that they seemingly had wrapped up at half-time despite missing several chances but they were rattled by Lambert's introduction and instant impact.
