Hi sirkeishii,
No, I wish I had better news for you but there isn't a way to bypass the timer. It needs to timeout before you'll get the option to unlink it from that older EA account, and relink it to the Apex one.
A quick heads up on unlinking and then relinking:
If you unlink your platform account and link it back to your original EA Account, you may be able to get your stuff back if you can still access the account....If you unlink a platform account that you use to play Apex Legends, you might have issues with Battle Pass leveling, item unlocks, and other errors. - How to unlink from an EA Account
- EA_Lanna