How to pump up a bicycle with a pocket pump?

If the interface of the pocket pump is a clip with a clip (handle) as shown in the figure below, it can only be matched with the bicycle valve core (new valve core, self-closing) as shown in the figure. When in use, press the mouth, quickly press the handle to clamp, then inflate, quickly open the handle and pull out the clip. If your pocket pump clip doesn't match the valve core, you should go to the hardware store to buy an adapter. What you describe should be the new spool in the new drawing, just do as I say.

Not without a clip. You need to see if the clip is lost, or you need to buy a clip to connect it. You can look at the picture below.