EMB145LR CREW STRUCK A FUEL TRUCK WITH WINGTIP LIGHTS ON INITIAL MOVEMENT FOR REPOSITIONING TAXI.

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OUR CREW WAS ON A SCHEDULED CONTINUOUS DUTY STANDUP OVERNIGHT SHOW TIME. WE RELIEVED A LATE ARRIVING CREW AND WE SUBSEQUENTLY LANDED 15 MINS LATE IN OUR DEST. AFTER 4.5 HRS OF SLEEP; WE RETURNED TO THE ARPT FOR A SCHEDULED DEP BUT WERE FORCED TO WAIT 15-20 MINS FOR A GATE AGENT. WE ARRIVED AT THE ACFT PARKED ON A REMOTE RAMP AND COMPLETED THE PREFLT CHKS IN PREPARATION FOR REPOSITIONING THE ACFT. I CALLED OPS FOR A MARSHALLER AND BUSIED MYSELF WITH WT AND BAL CALCULATIONS. IN THE INTERIM; THE FUELER ARRIVED AND BEGAN FUELING. I MADE THE COMMENT TO THE CAPT THAT NOW THE ACFT WAS STUCK WAITING TO FUEL IN THE HOLDING AREA INSTEAD OF AT THE GATE WHERE PAX COULD BE BOARDED AND PREPARATIONS FOR THE FLT FINISHED DURING THE REFUELING PROCESS. THE MARSHALLER ARRIVED BUT HAD TO WAIT WHILE REFUELING FINISHED. AFTER THE FUELER DISCONNECTED; THE APPROPRIATE CHKLISTS WERE RUN TO START ENGS. THE MFD TKOF PAGE INDICATED ALL DOORS (INCLUDING THE FUEL DOOR) WERE CLOSED AND THE MARSHALLER CLRED US TO START THE #1 ENG. THE MARSHALLER REMOVED THE CHOCKS AND BOARDING STAIRS AT THE DIRECTION OF THE CAPT. THE AFTER START CHKLIST WAS COMPLETED AND I CONTACTED THE GND CTLR FOR CLRNC TO REPOSITION TO THE GATE. GND CLRED US TO MOVE ON THE SURFACE AREA. THE MARSHALLER LEFT THE AREA FOLLOWING START OF THE #1 ENG. AFTER WE WERE CLRED TO MOVE; I INFORMED THE CAPT THAT THE ACFT WAS CLR ON THE R SIDE. EARLIER THE WINDSHIELD HEAT WAS BRIEFLY RUN TO CLR THE FORWARD WINDSCREEN; BUT THERE WAS STILL HVY OVERNIGHT CONDENSATION ON THE SIDE WINDOWS. THE ACFT WAS PARKED INBTWN 2 OTHER ACFT; BUT THERE WAS SUFFICIENT VISIBILITY TO SEE THAT IT WAS WELL CLR OF THE ACFT TO THE R. AFTER THE ACFT HAD MOVED ABOUT A FOOT; THERE WAS A COLLISION. THE CAPT STOPPED THE ACFT AND ASKED WHAT WAS HIT. I REPLIED I THOUGHT IT WAS THE FUEL TRUCK; BUT THAT I COULDN'T SEE IT. THE FUELER CAME AROUND TO THE CAPT'S SIDE WINDOW AND THE CAPT MADE SURE HE WAS OK. THE FUELER THEN RETURNED TO HIS TRUCK. IT IS UNCLR WHETHER THE TRUCK WAS IN MY FIELD OF VISION; BUT WITH THE WINDOW OBSCURED; IT COULDN'T BE SEEN. HOWEVER; I DID CLR THE R SIDE OF THE ACFT PRIOR TO MOVEMENT. THE SHUTDOWN CHKLIST WAS ACCOMPLISHED AND THE #1 ENG STOPPED. THE FUELER INDICATED HE SAW THE MARSHALLER LEAVE AND THE ANTI-COLLISION LIGHTS FLASHING SO HE KNEW THE ACFT WAS ABOUT TO MOVE; BUT THAT HE COULDN'T GET OUT OF THE WAY IN TIME. IT IS UNCLR IF THE FUEL TRUCK WAS MOVING AT THE SAME TIME THE ACFT STARTED TO MOVE OR NOT. ACFT DAMAGE WAS MINIMAL AND CONSISTED OF A CRACKED NAV LIGHT COVER; A CRACK ON THE GLARE SHIELD; AND BROKEN NAV AND STROBE LIGHT BULBS. DAMAGE TO THE FUEL TRUCK WAS ALSO MINIMAL. THE TRUCK SUFFERED AN APPROX 6