Probably not in the next 10 years. Ethereum took 2 years to come out ,and its just a pile of crap, with all the hacks and scams going on there. (not to mention the hardforks).
Best candidates would be:
LTC = Which is a copycat, so probably not
NMC = Which doesnt really serve as currency
MONERO = Probably high chance, but it doesnt even have a GUI wallet yet, so better make that come out first.
Other than that, there is no viable competitor to bitcoin ,and probably wont be for the next 2 years, and to beat bitcoin...? That would take a lot more than that!