Whether you feel you are good at math or science or drawing (or none of the above!), don't be discouraged from pursuing engineering. The important thing is to strive for a college degree in a topic that you are actually interested in and therefore a career that you love, not just focusing on whether you do/do not fit the mold. Be original and be yourself, and you will find that no matter what you perceive you are "good at", you may actually do well if you have confidence. Interpersonal skills for an engineer are well under-emphasized in school, but they actually play a crucial part of our everyday work. We interact with many people throughout the day… with the public, clients, and our co-workers, just to name a few. Having the ability to effectively communicate is a valuable tool, and in many ways, just as important as the nuts and bolts of engineering itself. For your emphasis on Construction Management, think of this example: if there is a problem during construction and you have determined a fix, how would you communicate that fix so that the owner or your boss understands the solution and agree to move forward? The ability to communicate and present your ideas well, may make the difference between a project being built versus it entirely stopping. How you relay information to others as an engineer becomes so important, especially if there are safety or ethical issues involved.
Please let me know if you have any questions.