Think your best bet is take off the timing cover, remove the spark plugs and just crank the car by hand a few times, I'm sure your gonna find what's making the noise than figure out why.
Check this video out its time stamp, just hit play and watch for 20-30 seconds, should be pretty helpful for what I'm talking about, and seeing it in action.
I would usually say no, but my fear would be your chain guide broke part of a sleeve off, which could eventually lead to engine catastrophe, but more than likely this is not the case, probably just low oil pressure until the oil warms up.
Its possible its your chain guides, anyone that has cracked there timing cover open and has rotated there engine by hand a few times with stock components can tell you about the clicking sound they can create, but the sound coming from your engine is pretty loud.
Usually what is happening in...