Since no one has answered.. I would guess NO.
And I would say if the BP-25 does not seem to have enough power.. It would be the mismatch of the phone's impedance. (which I would guess is way too high)
So the route to follow would be find headphones with a lower impedance..
On the other hand maybe 110dB straight into your ears is not a good idea?
Another thought.. If you are trying to use the headphone jack to drive external powered speakers? Don't.
Use the tape out.
