Maybe. If the break is something like a handle that's been broken off, you may be able to glue it back on using a two-part epoxy glue system. There are internet tutorials on this you can find through YouTube and Google, but I make no promises of success.
However, if the break is in a place that comes into contact with food or beverage, it is no longer safe to use and will never be water tight again. You can repair the damage with the epoxy glue and use the item as a decorative piece, but I do not advise you use the pottery for function.
I do not provide replacements of pottery that have been broken by user error.