No, as far as I know, (correct me if I'm mistaken), AB covers limits, all basic derivation methods and integration methods. BC covers more difficult integration techniques, including integration by parts and trigonometric substitution, as well as sequence and infinite series. BC should also cover parametric equations and polar coordinate calculus. Basically anything up to vector calculus.
Now this could be wrong; I took AB Calc in high school, then Calc II and III in college, so this is just my best guess. I know that on the AP BC Calc test that if you don't do too hot on the BC portion but do well on the AB portion, you can still get AB credit at most schools, which is roughly equivalent to Calc I.
Personally, BC isn't too terrible, but if at the end of the semester you don't feel like you 100% understand the topics, I'd recommend retaking Calc II, as I've heard that a good understanding of infinite series is important for Dif EQ and beyond. This is of course if it pertains to your intended major.
Hope I could help!