No. You would need the original value (the password) to recreate the hash using a different algorithm. Since you don't have the password and a hash is purposefully not reversible, you cannot get the "single MD5" value.
You'll have to adapt the code in your new system to work with the old hash values.
And you should use something better than MD5 while you're at it, it's entirely inadequate for secure password hashing. password_hash
is the PHP state-of-the-art.