AE | ME Chest Usage?

I'm wondering, can turtles pull from AE's ME Chest?
http://ae-mod.info/ME-Chest/
We are working on a system right now and currently it's not working to well, we need the AE chest to work with turtles if we are to improve it any.

If it doesn't work, is there a chance that in a later update turtles can access from ME Chest and ME Access Terminal?

Although I haven't tried this, my guess is that they cannot. Pulling from an ME chest would probably require ComputerCraft to hook into their API and I don't believe I've ever seen mention of it. If you are desperate to get items from an ME chest, you could always use an export bus and that should insert them into the turtle. If you are not averted to installing a third party peripheral, OpenPeripheral allows you to set the configuration of the export bus by providing you with peripheral access [see p.setConfiguration(string, string)]. I'm not sure exactly how it works as the documentation is scant, but you can give it a try.

Do peripherals require you to modify the client as well as the server?

You can make the turtle put stuff into a chest and it your ME system will put the item into the system with a storage bus, or a import bus. I've played around with ME a little :)/>

Was looking for the reverse. :P/> So that the turtle can pull from an ME chest instead. Will have to hope the peripherals are compatible and easy to install on a tekkit server.

Use an ME export bus to put items into a chest, then pull them out with a turtle. If you need to put items back in, have an import bus attached to a different chest and tell the turtle to drop off items there.