Whether or not we can update the technology for your current website really depends on when and how it was built. Sometimes we can convert it directly to the latest content management system, but often doing so requires rebuilding the site from the ground up. The best thing would be for us to evaluate it.
Another factor to consider is that website design standards have changed considerably in the last couple of years. This has been driven by the shift to mobile platforms. While in the past, pages tended to be short and rigid. Todays designs feature pages that are long and flowing, and approach that tends to work better on phones and tablets. Therefore, if it is time to upgrade the technology on your site, it is also likely that the design and interface needs to be reimagined as well.