Can you have multiple disability insurance?

You can, however check the policy provisions to make sure that one does not off set the other should you go out on claim.

For information, resources and related links go The National Council On Disability (NCD)

Yes. Signing up for or applying for a disability insurance policy is basically the same as asking the insurance company to make you an offer for coverage. There is nothing that says you are not able to apply to multiple companies at the same time. In fact, in some cases it is a good idea to apply with multiple carrier so that you can see which company offers you a better policy and price.