I'm going to guess that since its a software RAID, that the RAID configuration is held on the computer its first set up on. The enclosure is just a way to store the drives outside of the computer, so yes there's a possibility you will lose the RAID if you move it.
Core 2 Duo E6600 @ 3.33GHz w/ Silverstone Nitrogon NT06 (both lapped)
ATI Radeon HD 4850 @ 690/1150
ASUS P5K-E WiFi/AP Edition, 4GB DDR2-800
Lian Li PC-7B w/ 2 Silverstone FM-121 + 1 FM-81
LSI MegaRAID 320-2 w/ 18GB 15k, 74GB 15k, 3x147GB 10k RAID 5 (SCSI drives), 500GB SATA
Creative X-Fi Platinum
Enermax Aurora, Logitech MX1000
Envision EN2028 20" 1600x1200 + Samsung 710N 17"
Yamaha HTR-5940, 5x PolkAudio Monitor 40 bi-wired with 12AWG, PolkAudio CS1, Klipsch Sub10, Optical from X-Fi