You can do it with Calibre and specifically with the ebook-viewer program that comes with it. However, for some reason the packagers didn’t ship a desktop file to accompany it, so you can’t just double-click on eBooks and have them opened correctly. This can be corrected by placing a ebook-viewer.desktop file in ~/.local/share/applications:
[Desktop Entry]
Version=1.0
Name=Ebook Viewer
Comment=Display .epub files and other e-books formats
Type=Application
Terminal=false
Icon=calibre
Exec=ebook-viewer %f
StartupWMClass=ebook-viewer
MimeType=application/x-mobipocket-ebook;application/epub+zip;
Categories=Graphics;Viewer;