Yes you can export your private keys, you have to open
developer menu > assets > bitcoin > export private keys
Afterwards you can import those private keys into electrum. But i still would recommend to send them to a new wallet generated with electrum.
Rather pay 4$ fee than having your coins stolen because of an exploit inside exodus. I did not found any certified application penetration tests on exodus.
But you also can create a wallet with a new seed and then add those private keys of exodus into electrum to be able to send "within electrum wallet" with adjustable fee.
$4 is outrageous.
I have $12 there. Im not gonna pay $4 for $12 transaction. Worse is you cant change the fee.
I plan to import the private keys to electrum and uninstall Exodus