Yes, there is nothing to stop you having more than one life protection policy. In fact, you can have as many policies as you want. However, if you find your situation changes in the future it’s sometimes possible to adapt your existing policy. For example, if you have a life protection policy, you may be able to increase your cover without the need for further medical information on certain life events.
You can also request to make other changes, such as changing the term, the amount of cover, removing a name from a joint policy or even changing your premium payments from monthly to annually. So there is nothing to stop you from taking out more than one life protection policy.