Hello,
The correct answer is No. However, algae do appreciate warmer temperatures, therefore, depending on the state of the tank with regard to CO2, bacteria levels, tank maturity, nutrient levels and so forth, one has a higher probability of incurring an algal bloom at a higher temperature than at a lower temperature. Logically, if the the tank suffers temperature excursions into the higher values, it is entirely possible that the higher temperature can act as "the straw that breaks the camels back".
Once a bloom is triggered, then any temperature excursion back down into the lower values become irrelevant. This can cause the illusion therefore that an oscillating temperature caused a bloom.
Another possibility is that the tank was on it's way to experiencing an algal bloom regardless of the temperature excursions due to those other factors anyway and that it was simply a coincidence that the temperature oscillations occurred while the tank health was failing. This is a MUCH more likely scenario.
Cloudy water can be the result of a bacterial bloom, or due to poor mechanical filtration induced by various combinations of too coarse media, poor flow and fine, loose debris in the sediment. Cloudy water can also be triggered by precipitates that form due to the interaction of Iron in the trace element mix forming insoluble compounds and then falling out of solution. This normally happens just after dosing the trace and usually takes a few hours to clear up. There is only a low probability that this is temperature related.
Cheers,