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You applied for a Schengen visa with fixed start/end dates and a duration of one month. The decision is taking longer than normal and you will soon be engaged in a personal commitment (i.e., your internship) and unable to travel for six weeks. What this amalgamates to is that you will not be able to use your Schengen.
If I get the visa during my internship is it possible to change the dates of my visa?
Schengen visas are inexorably linked to three things...
Completely changing the dates impacts the itinerary because the bookings are no longer valid. And worse, the premise for the visit may have also passed.
Can I change that month?
Yes but you will need to take two steps...
Related article: What are the options when a Schengen visa application is in process after the proposed travel date?