"first time collaboration" is grammatically correct and can be used in written English.
Example: This project marks our first time collaboration with the marketing team, and we are excited to see the results of our joint efforts.
One of them represents a first-time collaboration with the Peabody Museum.
The first-time collaboration between D.T.W. and Barnard features dance majors from the college performing works by three choreographers, all of whom are in residence at Barnard.
Fascinating as "Archway" was on its own, it also accompanied a first-time collaboration by Mr. Keszler and the ingenious quartet So Percussion.
The tenor saxophonist Billy Harper sat in with Mr. Stanko's regular working quartet — a first-time collaboration that worked out gracefully — and the music became more jagged, more grooving and in many ways more American.
Hartford's "Oedipus" represents a first-time collaboration between the company and the Artists Collectivee, a "multi-arts and cultural group serving primarily the African-American, Caribbean and Hispanic community of North Hartford," in the words of Dollie McLean, the organization's executive director.
Instead, the Lincoln Center concert includes nine new, thematically linked pieces for the All-Stars and a first-time collaboration between the Asphalt Orchestra and Tatsuya Yoshida, the drummer and driving force behind the long-running Japanese prog-rock band Ruins.
The show marks a first-time collaboration with award-winning playwright Anne Galjour, and is set to an original score by violinist/composer, Todd Reynolds, who performs live with Bay Area beat boxer Kid Beyond.
This ground-breaking, first-time collaboration between Crocs and UNICEF was supported by the Panamanian Ministry of Health and Ministry of Education.
Finally, SaVE calls, for the first time, for collaboration between stakeholders in higher education assisted by key federal agencies to identify and share best practices.
It's not the first time H&M collaborations outstrip their usual prices.
