Can a Dienstrad be used to claim the distance allowance for journeys to work in the tax return?

Yes!

According to §9 para. 1 no. 4 EstG, a distance allowance for journeys between home and place of work can be claimed at 0.30€/km regardless of the means of transport.

In comparison to the provision of a company car, if a Dienstrad is taken over, the taxation of the journey is compensated with 0.25% of the list price (RRP).