No not really. At one time there was some minor success at simply renaming a BIBLE module and getting that to work in mySword without any editing but on the whole they have different file layouts and different encoding of the text.
You *can* convert most of the modules from here to work with mySword (assuming some one has not yet done so, **AND** you are not trying to convert a commercial, encrypted module. Note that all of the official e-sword modules that you download from with-in e-Sword itself ARE encrypted!).
There are numerous message threads here in the forums that can walk you through the process.
Also to add to what Roy said: Moreover, there are a huge number of e-Sword resources which have also been created for MySword, and there is a MySword section here which, in all likelihood, may have those resources available on this site. Therefore it may be worth your while to have a look at the MySword section and see if what you want is available.
Another tip as well, which could quite possibly go a long way for you: If there isn't a MySword resource of the e-Sword one you have, then ask if someone can convert it for you, or to create it. That way you will get the both of two worlds.
I trust this is really helpful to you.