It can but it shouldn't if they used good quality jewelry (and most reputable piercing places have good standards). My ball used to fall off all the time when I got some cheap ones, they were plastic balls too which I'm sure didn't help. My stainless steel one stayed in for years with no issues, so you should be fine. Once you get used to it you won't notice the little things anymore.
If it does fall out make sure you put it back in right away as tongue piercings close extremely quickly.