I have created a wallet which doesn't have my real name
can blockchain limit my account if they find out. I also might need to get loans from elsewhere and when they ask for I.d will they ask for my blockchain account info as well.

Your real identity is needed only if you want to convert
BTC to fiat, and even that is not needed everywhere.
The fact your identity was needed means that you used a 3rd party site to hold your wallet.
You can as well make as many wallets you want installing a wallet software on your computer. Really, as many as you want.
Blockchain doesn't limit you at all.
The only ones that can/may limit you are the 3rd party sites, usually related to banking services. But if that happens, you can find another such site quick enough.
And a bottom line: the 3rd party sites is usually the least secure way to hold your bitcoin. If the amount is small, you are fine. If the amount grows, please study more and find safer ways.
There are wallets which doesn't require infos and there are some that requires real identity to secure so it really depends. Most likely I don't give any real details online specially if it's unnecessary.