In microscopic scale chemical reactions are reversible - the dominant
direction depends of parameters (like ATPase H+).
Myosin can change ATP into movement. It's functions are too directed,
too complicated to be reversed in practice.
But imagine simpler molecule which is physically connected to for
example intersections of filaments of cytoskeleton and can catch ADP
and phosphate. Now vibrations would cause movement of the cytoskeleton
which is transferred to the protein, which binds molecules into ATP.
What for? To actively absorb vibration/sound, for example to reduce
turbulations while swimming/flying or ... feed with tectonic
vibrations ...
I'm not saying that it's simple, but looks to be possible.
And if yes, mother nature is extremely inventiveness creature ... look
how sophisticated machinery was constructed to use energy from
light...

We have plenty of microbes in deep earth for billions of earth - there
were/are some sources of chemical energy, but generally they are
starving. Scientist has problem to explain their extremely low
metabolism:
http://www.sciencemag.org/cgi/content/full/sci;276/5313/703
Extremely low metabolism has also psychrophiles - but it's because of
cold - all reactions are slowed down. It's not because of lack of
energy - they usually have access to it.
We are talking about thermophiles , which should have consumed most of
available chemical energy sources for last billions of years and new
come extremely rarely.
Remember that energy is needed not only for metabolism,
reproduction ... it's necessary to sustain the structure of the
organism, fight with increasing entropy - especially in high
temperatures!
Their life would be much easier if they would be able to feed not only
with chemical energy, especially when there is plenty of it in heat
and tectonic vibrations around...

Feeding with pure heat looks even less probable...
At the first spot it seems to be against classical thermodynamics -
converting pure heat into different energy. But this theory is strong
simplification. For example hot iron emits photon. Heat energy is
random microscopic movement - a noise. The trick is to use a resonance
to gather surrounding frequencies and convert them into coherent
movement - light, sound ... Lately it was proved that it can be done
in practice - change heat into sound and then we can use for example
piezoelectric effect to convert it into electricity:
http://unews.utah.edu/p/?r=111907-2
The question is if it can be done in microscopic level - using single
molecules, proteins and temperatures smaller than 120C? For example a
molecule which can resonance to bind ADP and phosphate.
Biology can change chemical energy into heat, with proper parameters
these reactions should go in opposite direction...
If it's doable - evolution should have found it...