Yes.
Go into the Exim Advanced Editor.
Edit (or create) the configuration option "received_header_text"
Set the value to:
Code:
Received: \
by $primary_hostname\
${if def:received_protocol {with $received_protocol}}\
${if def:tls_cipher {($tls_cipher)\n\t}}\
(Exim $version_number)\n\t\
${if def:sender_address\
{(envelope-from <$sender_address>)\n\t}}\
id $message_exim_id\
${if def:received_for {\n\t for $received_for}}
Then save.
It will remove the "from" part of the Received field, and only have the "by" part of the field, similar to how gmail and other mail services write their headers.
I'm not sure what the ramifications will be as far as email delivery goes, but I'm testing this config right now and will try to post back here if any problems arise.