normally an Ausbildung is a full-time occupation. You also have to go to school during your Ausbidung, so studying for a Bachelors degree simultaneously would be reallly hard.
There is a possibiility for a part-time Ausbidung, however this applies only for reasonable interests and doing another education doesn't fit in the criteria.
Of course you could try to achieve your Bachelor with distance learning. However, the easiest and shortest way to get both is a duale Ausbildung.