The phrase "refuse the project" is correct and usable in written English.
You could use it to indicate that someone is declining to take part in or move forward with a project. For example: My supervisor refused the project when he saw the timeline and budget constraints.
In an hour-long land use plan presented to Energy, Mines and Natural Gas Minister Bill Bennett last fall, Masso said he invited the province to refuse the mine project in favour of the nation's $290 million stewardship-oriented vision for the land.
The designer and tester of the project refused the official endorsement of the project by Studio Ghibli and Hayao Miyazaki, noting that he did not want to cause trouble for them if an accident occurred.
Stravinsky refused and the project fell apart.
Moore refused, despite the project shooting in Los Angeles, and the whole campaign has now been scrapped, according to Hurriyet Daily News.
Peter Roth, then the president of the Fox network, later acknowledged the request but said it was among several things he asked for, and not "simply about inserting white faces into the show". Still, Mr. Tolan and Mr. Chappelle refused, and the project was killed.
Both refused, and the project stalled.
After an EBRD report denied that any lynx were present in the park, Macedonia's environment ministry refused the Lynx Recovery Project permission to set any more photo traps, and the last feline pictures were taken in 2013.
A five-day media conference they organised to fight the Bel Monte dam in 1989 generated enough international attention that the World Bank refused the loan necessary for the project to proceed.
The president has threatened to declare a national emergency over the situation at the border – a move he believes would allow him to circumvent Congress and begin the construction of a wall on his own – if lawmakers refuse to fund the project.
