No. As as officer, you are not required to attend BCT at all. However, in the summer between your junior and senior years, you will attend what is called LDAC, aka Warrior Forge. This is a 33 day course that is designed to test your leadership abilities with everything you have learned in ROTC for the last 3 years. It is not the same thing as BCT, nor are you treated in anywhere near the same manner. For the most part, the cadre treat you like the young adults that you are.
After you commission, you will attend BOLC III (OBC) which teaches you your job. It can last anywhere from 7 weeks to 18 months or more depending on what branch you go into. All of these are considered gentlemen's courses because you are expected to act like mature adults and young officers.
For the last 3 years or so, they have had an additional course known as BOLC II, but it has largely proved a failure. The extra 7 week course has cost an enormous amount of money and has not really been shown to produce better officers. The original purpose was to expose officers from all branches to basic infantry type training which officers in branches like finance and adjutant general will not receive otherwise.