Not really.
In a more precise language, what you are describing is that temperature is an ensemble property of particles and individual particles can store more energy (mostly be faster in case of a gas) or less than the average.
However, this applies to cells, heat sensors or anything else that would “feel” the heat too. Those are still sufficiently big that they only are affected by temperature as an ensemble property of their molecules.

For example, a single fast air molecule hitting a cell usually will slightly heat it up by the impact dissipating over the many molecules of the cell. Heating up the entire cell to the extent that it suffers heat damage would take so many fast molecules to hit it in a short time, that such an event is extremely unlikely. The same applies to a single ultra-fast molecule holding all the energy. Now, a fast air molecule may hitting a protein might disintegrate it, but that’s not a critical damage to the cell as this happens all the time and proteins get replenished by the cell. (This is also why the critical molecules such as DNA need to have a considerable heat tolerance.)