Hehe.. Thats exactly what I did a long time ago. There is no harm to your pedals and the setup should work. There are some things you need to take care about though..
Firstly, you don't need 2A to run the 5 pedals. Very few pedals (mainly high end delays/modulation with a lot of processing) consume 100mA or above.
Secondly, hum is your biggest enemy. Hooking up so many pedals in a chain will cause your gain pedals to hum. (Good luck if you are powering a Wah in the chain).
So you might have to use a second adaptor to power the sensitive pedals. The best long term option is to try and save up and get a nice, filtered power supply with isolated outputs like the Voodoo Pedal Power + or the T-Rex Fuel Tank Jr.
-- My current rig
Guitar: '98 MIJ Ibanez RG520 QS w EMG 81/60
Amp: Laney LC15R Tube, Fernandes 20W SS
Pedals: MI Audio Tube Zone Overdrive, Boss OD3, CS3, MT2, HM2, DS2, CE5, DD7, TU3, Beta Aivin DD2 Delay, Dunlop Crybaby 95Q, Stranger Vol Pedal, BBE SupaCharger
Others: Yamaha RBX 374 Bass, Yamaha MM-6 Synth, M-Audio Fast Track, Shure SM-57, Heet Sound E-Bow Plus
Wanted(pm if selling): EB VPJr/Boss FV500L,Ibanez w Original/Lo-Pro Edge