No, having an Ausbildung will not allow you to join university level studies at a later point, e.g. in the second or third year.
The rules for studying with an Ausbildung vary from state to state in Germany. In some states you require some years of work experience after completing the Ausbildung. In others you have to do an entrance exam.
Here is information about how people with an Ausbildung can study at university:
If you wish to study, it will be easier with your Abitur equivalent.