Did you buy the pump & hose new or used?

You're right, it should have a pin in there somewhere.

The hoses may be pretty universal, hopefully.

I have a floor pump with a bad pin, and one can overcome the valves with a significant amount of pressure, but it has to have a secondary valve in the pump, and I don't think I'd want to do that with a frame pump.

EDIT:
[MENTION=197614]fietsbob[/MENTION] is probably correct, no valve in the pump. It sounds like a poor design. You might want to "burp" the tire before trying to inflate like one does with presta valves.