Hey Falange,
I was told that based my availability this summer I could do my BMQ/SQ and most likely by end of summer or early fall, go straight into my BiQ. (Infantry) So it is possible, but like boehm said, it depends on your trade like boehm said. I think it may also have to do with your location. I live in Chilliwack BC and there is for sure a BMQ running in May there, but they still may decide to send me out to Wainwright for the BMQ/SQ/BiQ in one chunk. Just make sure you are super flexible with your schedule in the summer months and don't turn down an offered slot in a course, (if possible), because it may be up to a year before they give you another shot. At least that's what my Sgt. told me.
welcome to Army.ca
Later
Danno