Yes, but you have to think opposite from what you know when using a computer. There is no central file you can "dip into" and select a file to attach to the e-mail - while you are in the Mail app.
With the iPad, you have to be in the app that contains the file. Then, that app will [usually] have an option/button to mail or share the file. Upon selecting that option, you will get a mail pop-up so you can fill out the e-mail details and then send the file.
Once you get the hang of it, it becomes second nature. Just remember to think opposite...
Marilyn