Burnaby and/or the province of BC can try delaying permits or other obfuscation tactics, but the Canadian Constitution is clear.  The Constitution specifically states that interprovincial pipelines are the exclusive jurisdiction of the federal government. The case law has long been clear that provinces/municipalities CANNOT  exercise their jurisdiction in ways that interfere with interprovincial transportation (pipelines) !

So, if Burnaby or BC want to stop this pipeline, they first need to make a legal/political challenge to change Canada's federal Constitution.  Good luck with that !

Hang-in-there Kinder Morgan, both the Constitution and the law are on your side.