Yes. This commonly referred to as "rolling over" your accounts.
Consolidating old retirement accounts is a good to make sure you're keeping track of your retirement savings, it may also be a good way to reduce the total fees you are paying.
There is fierce competition for these types of "rollover" accounts in the retirement savings industry. You may see ads for "free" accounts, don't be fooled by these gimmicks, all retirement accounts have fees and many have high fees.
If you'd like to rollover your old accounts into Icon, we are here to help. For this process, we will use a direct transfer process to avoid any tax consequences. For information on how to do this, contact us at: Contact@IconSavingsPlan.com. We'll help you through the process.