Using your company's database to network with other employees

I have 2 years left of school, at a MAC school, so non target. I currently work at a BB wealth management branch in the city where I go to school. On our company's intranet I can see names of people who work at the large offices (New York, Chicago, etc..), and I was wondering if it would be wrong of me or piss them off to contact those employees to network with them (cold email/linkedin message, etc..) in hopes of eventually landing an internship at those offices the summer before I graduate. I also am fearful that my boss might catch wind of this, and be upset considering I got this job by walking into the branch and essentially kept asking for an interview until I got one and landed the job. Looking forward to hearing what everyone thinks.