No, you can't configure 2 VPN tunnel with the same local network and remote network, that is not a supported configuration.
You can however configure 2 IP Addresses within the "set peer" command, one IP for the first provider and the second IP for the second provider, and remember to configure "tunnel-group" for the second provider as well with the pre-shared key.
Table of ContentsIntroductionVersion HistoryPossible Future
UpdatesDocuments PurposeNAT Operation in ASA 8.3+ SectionsRule Types
Network Object NATTwice NAT / Manual NATRule Types used per SectionNAT
Types used with Twice NAT / Manual NAT and Network Obje...
Table of Contents Introduction:This document describes details on how
NAT-T works. Background: ESP encrypts all critical information,
encapsulating the entire inner TCP/UDP datagram within an ESP header.
ESP is an IP protocol in the same sense that TCP an...