you can add a lan adapter via the thunderbolt connector. you cannot have WEP wireless with macbooks

can you give me one example to look at please--when I did a search on "lan adapter via the thunderbolt connector" there were many types--confusing. This is the wireless info which it cannot connect to, not at my house nor at the owner's office
Radio Enabled:             Yes
SSID:                           FiOS-99
Channel:                   6
Security Enabled:             Yes
WEP 64-bit:                     N/A
WPA2:                          password removed
SSID Broadcast:             Enabled
MAC Authentication:       Disabled
Wireless Mode:             Compatibility Mode(802.11b/g/n)
WMM:                            Enabled

5 GHz Wireless Status
Radio Enabled:             Yes
SSID:                           FiOS-99
Channel:                   161
Security Enabled:             Yes
WPA2:                          password removed
SSID Broadcast:             Enabled
MAC Authentication:       Disabled
Wireless Mode:             N and AC Mode(802.11n/ac)

Have you tried resetting the SMC and PRAM?  Maybe they're corrupt.  Sometimes that will fix seemingly odd hardware issues.  These are quick to do, so it's always the first thing to try.

If you have another Mac and a Thunderbolt cable (USB-c if it's the late 2016 model), you can boot this Mac into target mode by holding t during boot and this Mac will just become an external disk to the other Mac.

RESET SMC.
Turn off Macbook Pro.
Plug in power.
Press and hold the left shift control option keys then press and hold the power button for 5 seconds.

If

RESET the PRAM
Turn on Macbook Pro.
Press and hold option command p r  (On the newest models, it won't chime.  You just have to wait until the screen "blinks" 3 times.  Normally you'd see the apple logo, and hear a chime on the older systems, but the back light no longer comes on and there's no chime on the newer systems)
Release the 4 keys, and allow it to boot.

I do not have the power cable--anything else I can do without it? I tried the above and nothing happened without a power cable; still getting the same error--see attached
MacBook-Pro-Error.jpg

This is a bit of a shot in the dark .. but I remember in the past issues with apple OSX connecting to certain types of WiFi networks with password disabled (which I see you have in this case).  Can you put in a password on WPA2?  Then on the WiFi settings FORGET/DELETE and saved WiFi settings for this network .. then try and reconnect and enter the password this time

the "password removed" is me not showing my password there are passwords, I just removed them and told you I removed them from view.

I got a power cable from a friend and the first 2 suggestions made by  serialband did not work and I don't have a 2nd mac anyway to make it an "external drive" to a PC; cabling here also seems an issue

I was able to connect the non-working macbook pro to another macbook and got it into target mode (has the 2 USB and Firewire symbols roaming across the screen) but we could not see it on the other MAC; I also conencted it using a USB to USB cable to my PC and couldn't see it on there either. Any other suggestions please on how to get the user data of this damaged Macbook as I believe this SSD is on-board and non-removable. Thanks.

Sorry it took me so long to close this case but the owner of the laptop had not been letting me know how he wants to proceed. After trying the other suggestions first the suggestion given my Davis McCarn worked so thanks to all of you.