Almost certainly not (except in ways which violate the spirit of the question).
In order to make use of the extremely large wavelengths of Hawking radiation from a supermassive black hole, an organism would have to start out extremely large, for the same reason that radio antennae must be comparable in size to the wavelength of radiation they are designed to capture or emit. Much of the (already pitifully small) emitted energy would simply pass right through the whole planet. Thus, there is no way for small-scale structures to begin capturing energy to power chemical processes that could result in life, no matter how slow its metabolism is.
However, if life that started in the stelliferous era were to plan ahead and build large-scale structures capable of capturing the Hawking radiation from that black hole, then computational machinery could indeed continue to operate on the orbiting planet--at an extremely slow speed, sure, but also at extremely high efficiency, given the low operating temperature. So, although life could not evolve there, it could persist there, for a certain liberal definition of "life".
Now, given the possible existence of a computational infrastructure on this planet, you can then consider what kind of software that infrastructure might be running. The most straightforward option might be something like "simulations of the uploaded minds of the people who built it to give them immortality past the end of the stelliferous era", but another option might be "a fine-grained simulation of a habitable planetary environment from the stelliferous era"--in which case, life could indeed evolve in that simulation, on that planet orbiting that black hole.
Black holes don't cool off nor do they "redshift," they get brighter as they age. A black hole's temperature is inversely proportional to its size, and since black holes evaporate, a black hole's size decreases with age.
– stix Aug 15 '19 at 19:40