no it is not possible to get dagpenge, while you at the same time are studying on a normal full time study.
It is due to the fact that an unemployed who receives dagpenge, must be avilable for the labour market - i.e. must be able to take a FULL time job with one day notice. This is not possible when you are studying.
If your study is only part-time (maximum 20 hours per week), AND you are not entitled to SU, then there could be an option to get dagpenge while studying. However if this is the case for you, we recommend to talk with your A-kasse about it.
Anders Weber, www.a-kasser.dk