if I give my house back to the bank can i get a loan for another house from another bank?

SURE, in 3 to 10 years if you build your credit rating, save for down payment and avoid debt in the meantime.
If you’ve got all this cash, you can do a sale for less than mortgage and get rid of it.
3 years and no equity in this house??and all that money in bank?

Yes, when are are about five to seven years older than you now are. If you turn back a house without paying as agreed, you won’t get another mortgage for at least five years and possibly longer. You need to understand that you must fulfill your financial obligations if you expect loans in the future.

Here’s your next question: What happens if you try to give your house back to the bank, and they don’t want it????
Could they demand that you pay off your loan in full immediately? You better read your loan agreement over really carefully before you do anything, and have your lawyer read it too.
Could you try and sell it with the terms, no money down, owner financing, just take over the loan payments?
That way your credit wouldn’t get wrecked.

I don’t know of any mortgage/loan agreement with any bank for any house that you can simply turn it back to them
you have no equity in the house, are you saying you paid interest only and never made a down payment?
you probably need to talk to your bank before you do anything

The phrase “give my house back to the bank” is often not correct. The bank very likely did not own the house before. They only loaned you the money so that you could buy it from whoever did own it.

The bank wants their money they do not want your house. They will very likely sell it at whatever low price they can and then file legal claim against you for any remaining balance and any costs they incurred.

If you happen to be lucky enough to have a non recourse loan then you are ok but otherwise you ought to try a short sale or other avenues to get this house sold.

No. You cannot just give it back to the bank with no penalties. This will ruin your credit and you will not be able to get another loan for at least a few years.