No characters that made it to canon (either pre or post disney). By which I mean, there may have been some concept-character where this was the case, but Lucas shifted to the "innate force sensitivity" thing that became midi-chlorians fairly soon after Episode 4 was released.
It’s interesting to see, however, that in 1977 Lucas was already talking about creatures with a more natural capacity to interact with the Force; perhaps he was already thinking of a creature such as Yoda. Perhaps, in a way, that idea morphed into Anakin.
While every living being has some midi-chlorians, there has to be a critical mass of them for the being to be able to sense the force.
"Midi-chlorians are like a single entity: meaning each one doesn’t
think individually and have a life to itself; they think as a unit
because there’s so many of them and they’re everywhere. They’re in
every single cell. And sometimes there’s more than one
in a cell. Sometimes there’s a whole bunch in a cell. But there has to
be at least one in a cell, otherwise the cell can’t reproduce. All
cells. Plant cells. Every life form has a midi-chlorian living inside
It would be impossible to train a being with a single midi-chlorian to sense or channel The Force. That would be like training a normal human eye to see 100 million colors. We all have cones in our eyes, but unless you have 4, it is simply impossible to see more than a million colors (the normal eye has 3 cones, btw). In the same way, every being in The Galaxy has midi-chlorians in their cells, but without a certain concentration, it is simply impossible to attune with the force.
All that said, even those with force sensitivity had to train to use it. The most you would get without training is better reflexes than usual.