Are there bridges that can be placed in the mouth to replace loose teeth that do not have to be taken out by the patient?

Permanent tooth: Replacement or a non-removable dental restoration. Your options are dental implants, permanent fixed bridges. Of course, there are advantages and disadvantages to each of these options. However, dentist perform these procedure with a high and long lasting success. Rec. See your dentist for examination, x-rays and treatment.

Yes: Those would be fixed dental prosthetics that are supported by dental implants.

Depends: Bridges need a good bony foundation to be successful. A thorough exam and x-rays are needed to give you options and advice on this issue.