Yes it could, but it would have to be stuck wide open to loose coolant from just kicking the bike.
Did this happen after a rebuild reassembly? The head o-rings are new, are the grooves in the cyl and head surface in good shape? Not pinched on install? Remove the cap and look for bubbles, thats a classic sign of a compression leak into the system. I have only just got the bike so don't know mutch about its history, it was doing this when I bought it, I replaced the head o-rings the old ones looked Ok, it was a little tricky getting the new ones to stay in the grooves - I put a little air filter oil on them to get them to stick in the groove while I lowered the head back on, - how would you know if they came unseated after lowering the head back on? the head seemed to be level when I tightened it back up.
Less likely but possible is your base gasket, as it seals the coolant passage through the cylinder from crankcase pressure. It would also tend to draw coolant in when the case is under a partial vacuum. Open the crankcase drain bolt, if you see evidence of coolant that could be it
.