Can participant request a lump sum of less than full amount of their benefit?

Plan was proposed to be terminated in a standard termination but company since filed for a bankruptcy.  Per applicable regs, lump sums of more than $7,000 are no longer permitted, but plan can pay out lump sum benefits of less than $7,000.  If a participant has more than $7,000 in their benefit account, but requests a lump sum payment and is willing to forfeit anything in excess of $7,000, can the plan sponsor pay out that lesser amount?  

no