Yes Bed Bugs could live in your bed frame!
If the bed frame is wooden and hollow or has many cracks this could be a very viable infestation place. At a recent inspection we looked all over the mattress, box spring, curtains, and carpet. No bugs were seen but upon a closer inspection of the bed frame we could see tiny baby nymph bed bugs crawling down the highway of a bed frame crack. There are other bed frames that have hollow structure these are also difficult to spot bugs in as well as treat. Forget any Product or chemical treatment for these bed frames Heat is will be the best method.
Do I have to through away my bed frame if it has bed bugs?
The short answer is most likely no. One of the only cases tossing the bed would be advisable is when it is hollow and infested and Heat is not used to eradicate otherwise if heat is used typically this will kill all the bugs in the frame.