[Xrystal]

Managed to rig up a simple addon and can confirm that the SetHyperlinksEnabled isn't working as is on a frame .. maybe something else is needed. Will investigate further.

local addonName,db = ...
 
local cf = CreateFrame("Frame","TestFrame",UIParent)
cf:SetSize(600,300)
cf:SetPoint("CENTER",0,0)
cf:SetHyperlinksEnabled(true)
cf.fs = cf:CreateFontString(nil,"OVERLAY","GameFontNormal")
cf.fs:SetAllPoints()
cf.fs:SetText("Waiting")
 
 
local function OnEvent(self,event,...)    
    local args = { ... }
    if event == "ADDON_LOADED" and args[1] == addonName then
    elseif event =="TRADE_SKILL_SHOW" then
        db.link = C_TradeSkillUI.GetTradeSkillListLink()
        cf.fs:SetText(db.link)
        C_TradeSkillUI.CloseTradeSkill()
    end
end
 
local f = CreateFrame("Frame")
f:RegisterEvent("ADDON_LOADED")
f:RegisterEvent("PLAYER_LOGIN")
f:RegisterEvent("TRADE_SKILL_SHOW")
f:SetScript("OnEvent",OnEvent)

Second Attempt after some research is as follows:
The Profession Link works fine as if you had clicked in the chat frame, but I had problems getting it to accept the individual recipe link in the same manner. Fizzle's post will hopefully help in that regard.
Main addition is the Hyperlink line based on info on https://warcraft.wiki.gg/wiki/UIHAND...HyperlinkClick

local addonName,db = ...
 
local cf = CreateFrame("Frame","TestFrame",UIParent)
cf:SetSize(600,300)
cf:SetPoint("CENTER",0,0)
cf:SetHyperlinksEnabled(true)
cf.fs = cf:CreateFontString(nil,"OVERLAY","GameFontNormal")
cf.fs:SetAllPoints()
cf.fs:SetText("Waiting")
 
cf:SetScript("OnHyperlinkClick", ChatFrame_OnHyperlinkShow)
 
 
local function OnEvent(self,event,...)    
    local args = { ... }
    if event == "ADDON_LOADED" and args[1] == addonName then
    elseif event =="TRADE_SKILL_SHOW" then
        db.link = C_TradeSkillUI.GetTradeSkillListLink()
        
        for _, id in pairs(C_TradeSkillUI.GetAllRecipeIDs()) do
            local recipeInfo = C_TradeSkillUI.GetRecipeInfo(id)
            if recipeInfo.learned then
                print(recipeInfo.recipeID, recipeInfo.name, recipeInfo.learned)
                db.recipe = C_TradeSkillUI.GetRecipeInfo(id)
            end
        end
    end
    
    local textLink = ""
    if db.link then
        textLink = textLink .. db.link
    end
    if db.recipe and db.recipe.hyperlink then
        textLink = textLink .. ", " .. db.recipe.hyperlink
    end
    cf.fs:SetText(textLink)
 
    
end
 
local f = CreateFrame("Frame")
f:RegisterEvent("ADDON_LOADED")
f:RegisterEvent("PLAYER_LOGIN")
f:RegisterEvent("TRADE_SKILL_SHOW")
f:SetScript("OnEvent",OnEvent)