Not from what I know. The high energy costs are due to a effective and possible felt scarcity which occured at the beginning of the war in Ucraine.
The energy companies are now planing to reduce the costs with as much as 25% from next month, since the marked is now flooded with gas and renewables ( a lof of new wind parks and solar installation will go online the next month ).
I honestly I do not know why the interest rates went up. If someone can explain the correlation with the energy price, please do.