There is a PS4 thread and a PS4 Google Doc but I don't think there is a BF4 specific one. I did a quick copy and paste of the list by
@Nozey and then tried to get the forum names from the post. Sorry couldn't figure out how tables work in this editor (the [tr] and [td] tags don't seem to display correctly).
Forum Names - PSN ID
Nozey NoseVole
WhiteHartMart WhiteHartMart
Soundmangt4 soundmangt4
TheBunkDontSwim
meweavy Nextgen-meweavy
legend_of_chaos legend_of_chaos
Kimberson Kimberson
dan44762000 danbottomburp
Fance MonkeyNews
RedAl ThorGodofChunder
ozzzy189 dan_ozzzy189
xSequentialx xSequentialx
mark74uk Slickz___
Mr Fring Ty_84
HRL Hlines
hooray33 sobsom
jimboy2 jimboy2
andyparksy andyparksy
PaulieW PaulieWalnuts27
damo09 Gaymodamo
malariaboy TheSherminator45
simplesimo Si_da_Guy
Bill Hicks ZX65
mudstuff mudstuff_psx
onezeon onezeon
jambomakaveli jambo--c
monkeez sji1973
Wattsy 75 Wattsy_75
Nik73 Nik73
Moomike Moomike1981
sarll Msarll007
Dagger Six MoFo_Monkey_Man
airjordan23 ScuD-BROTHER
warrenj wozzajones
TyFlipster tyflip
Pavement kerbd0g_
mozza54 mozza54
DannyL84 DTL84-
Fishgold ootS
Torf Torf
jonden Jonpho
DJ Ovengloves Lee_AVF
Det Crib2Coffin
XasharK xashark
StevePSIV StevePSIV
NewfieDrool NewfieDrool
paddy187 Paddy187
xSoHereWeArex
Grrrrrowler grrrrrowler
darklight darklight37
jimboy2 jimboy2
mystikal09 BlueChip84
shandy pants shandy_pants
sam_jm Diekeyser
Charliearlie charliearlie
Aigars stulbenis
digitalsafari digitalsafari
Ben6279
GezDixon Slasher2McGurk
benhaha85 benhaha85
Tokoloshe Man Samba_LPE
stetash MrNice78
amardilo amardilo
travid magog666
thewhofan thewhofan
Sizer Pro SizerPro
kevlee38 kevlee38
gongatots gongatots
Three6ty Three6ty
cumbo silkaskillz
gex23 n1nja-frog
Sparky1970 tactical258
w1lkins w1lkins
Masked xXAUDITORXx
bsdmr2 bsdmr28
FadgewackeR FadgewackeR
Ethan2000 Ethan2000
Torranach Torranach
Pebb--
NightHawk NightxHawk_
Mfletch79 Mfletch79
hippyadam Hippyadam
Ben-H Jamin5
SFBanks SFBanks
Jimster71 Jimster-71
midknight ValhallaFury
Caveman49 Caveman49
bwfc0907 crazychimp
morty192 morty192
Jimster71 Jimster-71
Wicksy33 Wicksy__
RobbySpurs RobbySpurs
dazwaldo dazwaldo
hotspur77 hotspur77
Adcook Adcook
Craigy DarthKebab
banianichi Baniani
Anthony16v Pottskie
BigNevster25 nevcfc25
MisterRigsby MisterRigsby
WESTHAMUTD1 WESTHAMUTD1
DARKDANCERUK DARKDANCERUK
AstraK Kurtf5
danprice DanNUFC82
ibrox_grfc ibrox_grfc
PN74 Psychic_Sloth
AllThatDaz AllThatDaz
breadmaker6 breadmaker6
oakwood49 darks1de_fOrces
MonkeyMagic01 Monkeymagic01
Benno1977 Thehairyhelmet
TW ALBIEE TWALBIEE
johndickinson xxBA1L1FFxx
thepercyboy thepercyboy
mikerblade IrkMe
Cosmic Rooster Cosmic_Rooster
Turb007 raid5
monkeez sji1973
stu646 feedthegoat646
blobby109 si_morris
HayZee40 hayzeee
benny_j oh_poo
Sulley75 Sulley75
ballybally TheGingerWarrior
JayHenry Jay_0907
Bogside Bogside
number_3 Messy_mark
flymarsbar flymarsbar
Covert Recon Covert_Recon
mushii mushii1977
AstraK Kurtf5
razy60 razy60
Bobby Dooley bobbydott29B
SwinBob72 SwinBob72
jwalsh82 jwalsh82
ninjanemo86 Ninja_Nemo86
blobby109 Si_morris
e30bemer e30bemer
*Some names are incomplete as I couldn't match them up or couldn't see a post mentioning wanting other people to add them to their friends list (even though I know their PSN ID or forum name).