Hope you manage to bale your straw as this year it may be more valuable than GOLD
I don't think so!
Straw that has been on the ground for several weeks now will be very difficult to get dry enough to bale. Each time you turn it you lose valuable leaf, so at this time of year you will either end up with a load of stalks, or in attempt to bale it come what may, you are likely to end up with mouldy bales. Neither alternative is worth much for feeding or bedding.
As mentioned, I would be inclined to go back to the farmer that combined the field and ask him to get the straw off, or at least chop it so it can be ploughed in. Is he hoping to get a crop off the field again next year? If so, then he'll definitely have to do something about the straw.
If you have to pay someone to bale it, it is likely to cost you more than than the bales are worth.