For positioning of image on the slide you not need titlepage, it can be done in any frame. However, you can use it, if its use is more convenient to you in design the title frame.
Absolute positioning in the corners is simple with use of tikzpicture and its options remember picture and overlay.:
\documentclass{beamer}\usetheme{default}\usepackage{tikz}\title{Hello}\author{hhh}\date{\today}\begin{document}\begin{frame}\maketitle \begin{tikzpicture}[remember picture, overlay]\node [inner sep=0pt, %xshift=-..., yshift=-... % if you like to shift the image out of corner below left] at (current page.north east) {\includegraphics[width=22mm]{example-image-duck}}; \end{tikzpicture}\end{frame}\end{document}