No... it won't hold charge. The trickle charger will go

on that type of battery. If you have a meter on that charger, you will see it flips from full charge to empty in seconds and repeats all over again. Or it goes into full charge and no more charging.
If it is a few months old, then go exchange it for new one and skip the charging... they will test your battery before giving you a new one... unless they are super swamped... then they might just give you a new battery.
Now put that Blackberry down and pay attention to the Professor... or juggies... whichever is closer.