documentclass[12pt]{article}
usepackage{graphicx,wrapfig,lipsum}
usepackage[onehalfspacing]{setspace}
usepackage{mwe}

begin{document}
%begin{questions}
    begin{wrapfigure}{r}{.3linewidth}
    centering
    includegraphics[width=linewidth]{example-image-a.png}
    caption{This is A}
end{wrapfigure}
Hello, I want to wrap this figure in exam
lipsum[2]lipsum[1]
%end{questions}
end{document}

documentclass[12pt]{exam}
usepackage{graphicx,wrapfig,lipsum}
usepackage[onehalfspacing]{setspace}
usepackage{mwe}

begin{document}
begin{questions}
begin{wrapfigure}{r}{.3linewidth}
    centering
    includegraphics[width=linewidth]{example-image-a.png}
    caption{This is A}
end{wrapfigure}
question Hello, I want to wrap this figure in exam
lipsum[2]lipsum[1]

end{questions}
end{document}