Not that I know of. You have to re-create it

Your question is not very clear. I am assuming these things as I reply. You have a client for whom you created the Google Analytics account. So you are the owner of this account and administrator and your access cannot be deleted.

Assuming this is the case, you have made a copy of this profile and given access to this profile to your client (administrator or user does not matter). You have now deleted this client profile by mistake.

If this is the case, then you have to make another copy of your existing profile again (it will have the same data as that of the original account profile you created) and give access to this profile. Your client can log in to Analytics and view the data on this newly created profile.