Yes, it happened that in Alaska arrived both 54th Fighter Squadron and sqaudrons of 54th Fighter Group.
The 54th FS (55th FG) arrived on 31 may 1942 with P-38 and was attached to XI Fighter Command till the activation of 343d FG.
The squadrons of 54th FG (42, 56 and 57) with P-39 operated in California from late may 1942, and in Alaska from late june 1942 (after the battle of Midway) till december. The Group Hq remained in Loisiana during that time.
Max