No.

I'm assuming the supply does DC out at 12v, which would give it a 10 Amp output as well (Power = Current x Voltage).

A charger can use this any amount of this 10A to charge the battery, depending on the charge rate specified.

Judging by your battery, you can charge it at 5A, which means the charger will pull only half (roughly) of what the supply can output.

I may have missed something, someone please correct me if I did.