We are of course discussing a hypothetical landing that would not be by the book. So there is no reason to assume that the engine would be safed after landing, by the book. Anything physically possible, even though well beyond normal procedures remains viable. That said, the method by which they could have landed without the guidance of the computer during the final stage is unclear to me. Particularity if Stafford and Cernan had not trained for it. Perhaps if the goal was just to land, rather than to land is a specific spot, it was possible.
Apollo 10's LM had a total mass of 30,735 lbm, with 18,218.7 lbm of decent stage propellant. The ascent stage at staging had a mass of 8,273 lbm, with 2,631 lbm propellant. Both the descent and ascent engines had a specific impulse of 311 s. Therefore the Δv of both stages was,
Δv (descent) = 311 * 32.174 * LN[ 30735 / (30735 - 18218.7) ] = 8,989 ft/s
Δv (ascent) = 311 * 32.174 * LN[ 8273 / (8273 - 2631) ] = 3,830 ft/s
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Δv (total) = 12,819 ft/s
For the six Apollo landings, the median Δv for powered descent and ascent are as follows (the variance from mission to mission was small):
Δv (descent) = 6,696 ft/s
Δv (ascent) = 6,063 ft/s
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Δv (total) = 12,759 ft/s
So, theoretically, it looks like Apollo 10 did have enough total Δv to just barely match that needed to land and takeoff again. Of course that doesn't mean it was possible; the LM wasn't designed to takeoff using the descent stage. I also can't conceive of any emergency that would compel them to land. They were already in orbit, so why land just to takeoff and get back to where they already were.