Yes, and some are very CS-heavy, whereas others are mostly a psych/neuro/ling blend.
The other distinguishing factor among CogSci programs is that some have a true department with its own faculty and course offerings (e.g. UCSD, Merced, UTD) whereas others just cobble together an interdisciplinary major from the offerings of other departments. It isn’t impossible for the latter approach to work well, but it doesn’t always. My Rice kid ended up feeling like she and the other CogSci majors there were sort of “poor stepchildren” in terms of advising, because they were just tacked onto the caseloads of psych or neuro or ling professors who weren’t specifically invested in CogSci as a program. She experienced much more departmental support and cohesiveness in the Sociology department, where she did her minor, and said she would have reversed her major vs. minor if she had it to do over again.