It depends on the NAS and the configuration. Look for products that support RAID level migration and RAID expansion. QNAP, Synology and Thecus all support this, but the exact details of what you can migrate to what and how expansion is handle differ. I suggest you download the user manuals of products you are interested in and/or ask in their Forums.
NETGEAR's ReadyNASes take a different approach. They use a proprietary X-RAID / X-RAID2 technology that allows you to expand storage as needed without having to futz with RAID levels.
Be warned, however, that "live" RAID migration and expansion are very time-consuming. For Terabyte-sized volumes and with files constantly changing it can take day(s) to complete the process.