Drozdik grew up in Abda and Gyr in Hungary. Her mother with her family were living in Pozsony (today Bratislava) in 1945, and were stripped of their citizenship and property by the Bene decrees without compensation and forced to move. The governmental party labeled her father, as most of middle class intellectuals, class enemy and his property were confiscated. In 1956, after her father's death, she decided to be an artist. With the support of her mother, who raised her with a sister and brother alone, she started to learn formal drawing and painting in an evening drawing study group.
Drozdik studied art at the Hungarian University of Fine Arts from 197477. In the mid seventies she found her own voice by turning against the patriarchal educational and political dictatorial power. From 1975 she exhibited in Budapest and worked in association with the "Rozsa" (Roses), a young artists' post-conceptual group (197678). In 1978 married Andreas De Jong, left Hungary, lived in Amsterdam, 1979 divorced and moved to Vancouver, Toronto, 1980 to New York. She lived with Patrick McGrath, the writer, in Vancouver, Toronto and New York between 1979-1991. Drozdik was working in association with artist group Colab in the early 1980s. In the 1980s, she showed her work extensively in New York and internationally, in both galleries and museums. Starting in late 90s also exhibited extensively in major Hungarian and Central European institutions too. Her participation has been selected to take part in exhibitions of work by Hungarian artists. 3 by 3 from Hungary (1996) at the Center for Curatorial Studies, New York. and The New Arrivals: 8 Contemporary Artists from Hungary (2011) at the Palais des Beaux-Arts, Brussels.
In the years of 2000 had major retrospective exhibitions showing different aspects of her work: Adventure and Appropriation 1975-2001 were exhibited in LUMU,  Ludwig Museum and Museum of Contemporary Art, Budapest 2001-02, Passion After Appropriation in Museum of Contemporary Art , and in The Art Pavilion in Zagreb, Croatia, 2002, Individual Mythology - Medical Venus - Young and Beautiful, Municipal Museum of Art, Gyr, 2003, The Other Venus, MODEM 2011, , Contemporary Art Center . Debrecen, Hungary. In 2006 Drozdik published a book titled Individulis Mitolgia, konceptulistl a postmodernig, (Individual Mythology From Conceptual to Postmodern Gondolat Publishing IBNS 9639567795) a summary of her thoughts, methodology and work process, focusing on her starting point the 1970s conceptual movements in Hungary .
Her awards include, hu:Munkcsy-dj Munkacsy Mihaly Award, (2003) Kondor Bla Award, Budapest (1976). Prince Bernhard Fonds  Award, Amsterdam (1985). New York Foundation for the Arts, New York, USA (1995). Pollock-Krasner Foundation, INC. Grant, USA (1990), Gordon Matta Clark Foundation Award USA, (1990). Fondation Cartier,  France (1991) and a Pollock-Krasner Foundation, INC. Grant, USA (1993). She is member of SZIMA  Szchenyi Academy of Letters and Arts (2015) .