Is there a career that combines technology and scientific research?

Why choose one? A career like mine combines science, technology, and research on a near-daily basis. If working in law enforcement isn't quite something you're interested in, I'd also suggest considering other public employers (working as a researcher in a government setting like NASA or DoE can be a rewarding, stable job), academia (universities are always looking for fresh ideas, and you'll likely get paid to learn and earn a degree in the process), or other private sector opportunities (Tesla, SpaceX, Amazon, Google, Apple, IBM, Intel, AMD, Norton, McAfee, Cisco, ...), just to name a few.

This all hinges on what specific technology you're interested in, and in what context--government, academic, private work, and so on.

Well, Josephine, most engineering fields combine these two entities routinely. If, for example, you wanted to find out what sort of material could be used to make batteries store more electrons for a longer period of time, you would have to understand the chemistry and physics of the materials you were testing. Then, assuming you discovered an improved battery, you would be obliged to see its application(s) and the necessary equipment/technology required to make those batteries in a cost-effective manner.

By the way, the science/technology for improved batteries is one of - it not the most - compelling fields in alternative energy utilization. Start researching this and other technologies and begin listing the science necessary and how you would develop a research program. Your teachers/professors will help you create time lines, experiments and reporting skills.