Yes, and it can be done with nine 6-6s, which wastes pips, or nine rolls which bear off exactly.
For example, if the opponent starts and makes obligingly awful moves (in particular, abandoning their midpoint), the player can roll 6-6, 6-6, 2-2, 6-6, 1-1, 6-5, 6-6, 6-6, 6-6 to finish having rolled exactly 167.
Avoiding errors on the part of the player would need an extra move and an opponent who obligingly misses any necessary blots caused by bearing off with doubles. It can be done as a blitz with 6-6, 5-5, 4-4, 6-6, 6-6, 1-1, 6-6, 5-5, 3-3, 1-1 if the opponent starts with 5-2 and splits the back men.
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