Yes, but it is not customary. An example of when it may occur is, for example, when the state in which you live requires you to maintain personal injury protection and liability coverage; in that situation, you would notmally go to the insurer of your choice and buy those coverages. If, however, you opt not to buy collision coverage, and the company through which your car is financed requires collision coverage (to protect the collateral, and hence, its interest), it may obtain "force-placed" coverage with another insurer which covers the lenders interest.
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