absolutely.
the long rotations are in general the ones that are more requested as they are the ones that have the nice long layovers of up to 7 days in some rare cases. there are quite a few guys living outside of europe, in skandinavia or on greek islands... that try to build their rosters in a way that they only have to commute once a month to luxembourg and not having to spend too much time in a hotel or apartment in luxembourg.
even with low seniority you have a good chance of getting your off days more or less when you want them.
if you make this your primary request, ask for 7 times 5 days and 1 time 7 days vacation per year (in 8 different rosters), if you donīt bid for any specific trips... you can prevent them most of the time from sending you out on long trips.