I had my radiator in and out a few times over the summer. As I recall, no, there are no bolts involved. Everything, including the fan shroud, just slips into place, perhaps behind clips at each corner.

So for example when slipping the fan shroud in place, the shroud and the fan go in at the same time, and you need to make sure the clips on all 4 corners slip in together.
Then once in place, there are 3 little plastic body clips that go through 3 holes along the top edge of the radiator to hold the fan shroud very securely there.

The radiator is held in place on the one hand by sitting in a little channel at the bottom. Then it is held in place at the top with the cross bar thing, and the two big plastic threaded screws to provide a little pressure and sufficient compliance.

One tip I'll suggest - since you've got accident damage, and may not be completely sure your fix is good right away - fill the cooling system with water at first. Once you're sure everything is good, just drain it and fill with the proper coolant at that point. Just in case you find issues that require later removal of the radiator, it will be easier this way.

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2001 X5 3.0i, 203k miles, AT, owned since 2014