Yes, you can technically do that, but understand that it will create a completely different set of addresses and private keys. In other words, your money would not be accessible from such a wallet.
Nice correction, but we can't be sure which SEED scheme OP uses, whether it's native Electrum or BIP39 default is Electrum but thiswallet supports both. I mentioned BIP39 because it’s my preferred scheme, as it's widely used by nearly all other major wallets. On the other hand, Electrum's native approach is unique and requires you to use that specific wallet if anything unexpected happens.
Purely from a dictionary word overview, two words that are in the same position in the BIP39 and Electrum wordlists will create the same byte sequence and all of the words matching up like that will create identical wallets - even with a 13th word - so it's not that important.
A given BIP39 seed may be a syntactically invalid Electrum seed, but if anything, it's only enforced on the Electrum frontend.