Send Zcash using only t-address?

I seem to have lost my private key data as well as any other information for this mining address when I switched computers…(I know…ef me right?) Is there a way to send zcash to another t-address(one that I have all the necessary info on) using only the t-address I have?

Dumb question I know, because what’s stopping other people taking anyone’s zcash if a t-address is all you need…Shooting for the starts here…I just have a little pile of zcash and won’t ever be able to collect on it?

Thanks in advance…

No, you can’t you always need the private key.

Because of the address. Anyone could get your address from the blockchain and stole the money you have.