The phrase "despite having completed" is grammatically correct and commonly used in written English.
It can be used to show contrast or to introduce a seemingly contradictory statement. Example: Despite having completed all of her assignments, Sarah still felt unprepared for the final exam.
He said Beijing had so far declined to use the most advanced type of combined-cycle turbines despite having completed a successful pilot project nearly a decade ago.
Sloan astronomers have discovered 8 of the 10 most distant quasars that are known, despite having completed only a small part of the survey.
Despite having completed sex education as part of elementary school curriculum, Edward is unfortunately misinformed — as are, I've found, many of the men with whom I speak.
Despite having completed his training at the Czech Technical University in Prague, Mr. Pokorny enrolled at Columbia's architecture school, earning a master's degree and later serving on the faculty.
About six months before the killing, Lewinson had been caught with a lock knife at a McDonald's restaurant, which he claimed to have bought at an antiques shop despite having completed a knife crime prevention programme.
Kenyan nationalist leaders such as Tom Mboya and Oginga Odinga organized the Kenya African National Union (KANU) and elected Kenyatta (still in detention despite having completed his sentence) president in absentia; they refused to cooperate with the British while Kenyatta was detained.
After his release from jail, he migrated to Palestine in 1934, where he established an architecture firm, despite never having completed his formal studies.
The men faced the decision of whether to take their hollow victory at the immunity challenge, or play it through and give the girls a chance to stage a comeback without Kourtney, whose injury had rendered the challenge technically over, despite only having completed the first third.
One patient in the QT group achieved HP eradication despite not having completed the course of treatment.
Much of the vital detail for how this bill will work in practice will be in regulations that have still to be published, despite the bill having completed its passage through the House of Commons.
Despite most women having completed at least compulsory lower secondary education (88.2%), 68% had been unemployed prior to being trafficked.
