Can a pilot still land if the tower gives confusing Information?
At or near touchdown on the runway? Ignore it. The last thing any pilot should do in the critical period near runway touchdown is try to determine what a confusing or unclear radio transmission actually meant.

On the other hand, if "at the time of landing" includes two minutes prior to touchdown, up on downwind, or 4  nm out on extended final approach, different story.

What the cutoff is between these two extremes is what we pay pilots for. It's called situation awareness and exercise of good judgment.