is this sentence correct If there is practice after school on Friday, I can drop the kids off, and you can pick them up.

Yes, it's correct.

Not to be a Grammar Nazi or anything, but I'm pretty sure it's spelled grammar.

If there is practice after school on Friday, I can drop the kids off and you can pick them up.

Yes, the sentence you have provided is correct. It uses correct grammar, punctuation, and effectively conveys the intended meaning.