说不定 has the following two meanings:
1) "perhaps", "maybe".
In this meaning, 说不定 indicates a suggestion. It is placed either at the beginning of a sentence or before a predicate.
Pay attention
可能 is a synonym for the adverb 说不定.
Examples
说不定过了一会儿我们还会见面的
Maybe I'll see you again soon
shuōbudìng guò le yíhuìr wǒmen hái huì jiànmiàn de
我觉得我们没必要去,但是说不定老师会生气的
I don't think we have to go, but the teacher will probably be angry
wǒ juéde wǒmen méi bìyào qù, dànshì shuōbudìng lǎoshī huì shēngqì de
那边说不定有一些好吃的东西
There might be some delicious food
nàbiān shuōbudìng yǒu yìxiē hǎochī de dōngxi
2) "can’t say for sure".
In this meaning, 说不定 is used independently as a predicate.
Examples
明天去不去,今天还说不定
I can’t say for sure if we will go tomorrow or not
míngtiān qù bú qù, jīntiān hái shuōbudìng
今晚会不会下雪,我说不定
I can't say for sure if it's going to snow tonight