ECDH or RSA more secure for symmetric key wrapping?
Yes, there are a few reasons to prefer ECDH over RSA:


ECDH will perform much better;
ECDH can provide forward security when used with ephemeral key pairs without a large performance overhead for creating those key pairs;
ECDH should be impervious to most oracle attacks, i.e. timing based padding oracle attacks on OAEP.


For the forward secrecy you require two ephemeral key pairs (to perform ephemeral-ephemeral Diffie-Hellman). Ephemeral key pairs cannot be used for authentication, so you require additional steps if you wanted to use a static ECDH key pair for this.

There are a few drawbacks as well:


RSA is generally much better understood;
there is some discussion about EC security and domain parameters: you may need to validate the public key point or use one of the Safe Curves.


Although you may have to perform more modular calculations - including modular exponentiation - for ECDH, the modular calculations are over much smaller numbers, leading to a much better performing algorithm, especially regarding calculations that use the private key.

Textbook or raw RSA is perfectly able to handle big secret keys; any normal sized secret key can be directly encrypted with a normal sized RSA public key. It's just required to interpret the padded secret key as a number. RSA padding schemes such as OAEP are required to obtain security.