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Probably not. When you look in the manual, you will see that it specifies that 4 X 6 can be printed in a borderless fashion, using the special photo tray. But larger paper does not fit in the special tray that does borderless printing. Without the special tray, you can't print on the front edge of the paper because of the "grabber". The ink printing head also does not travel to the full width of the paper, so you can't go borderless on both edges either.
You can pick a more standard size, like 8 X 10", but plan your printing to center that on the A4 paper. Otherwise, pick a non-standard trim size and plan on trimming of the edges.
Good luck and Happy Computing!