Hey Ikkun101,
Yes, there is a way to add non-cracked accounts to Wurst's AltManager. Simply enter both the username and the password for the account.
I'd also highly recommend that you take a look at the Wurst Wiki page about AltManager, specifically this section:
Cracked vs. Premium Alts
Regardless of AltManager settings, it is not possible to use Wurst without owning a licensed copy of Minecraft Java Edition. Wurst is a cheat client, not a pirate client. The cracked alts feature merely gives owners of Minecraft Java Edition the ability to change their name on offline-mode servers.
There are two types of alts that can be managed in AltManager: premium and cracked alts.
Premium alts are regular Minecraft accounts, purchased from Minecraft.net. These accounts can only be used if the password is known. They can also be used on any Minecraft server unless they are banned or excluded from the server's whitelist.
Cracked alts, on the other hand, are just usernames. These alts don't have passwords and they might not even exist as real Minecraft accounts. These alts can only be used on cracked servers, which are servers that have the “online-mode” option set to “false” in the server properties. These servers don't validate the usernames or passwords of players at all, they just let anyone join without checking.
When a premium alt is added to AltManager, Wurst doesn't check immediately if the password is correct. Instead, it will first mark the alt as “unchecked” and wait until the user attempts to login with the alt. If the user logs in successfully, the label is changed to “checked” to remind the user later that this alt has worked previously. If the login fails, the screen flashes red and the “unchecked” status remains until a successful login occurs or the user decides to delete the broken alt.
Hope this helps!