No, the old EIN was assigned to your DE corporation and cannot be used for your new entity (even if it is for the same business). You must apply for a new EIN for your new entity.
Even if my new LLC in another state uses the same exact name as my original LLC in the 1st state, for example, I dissolve ABC.LLC in California, and register a ABC.LLC in Texas, do I still need to apply for a new EIN?