Yes a valve train tick at idle is a sign of low oil pressure.
Have you changed the oil and filter?
Could be the oil pump but oil pump doesn't really create the oil pressure, oil pressure is from the back pressure at the bearings.
When new, bearings have a small gap that allows a little oil to pass, much less than an oil pump pushes in, so a back pressure is built up, that's what the oil pressure gauge reads.
Oil pressure goes up with RPM because the bearings gaps don't change but the oil pumps flow increases, so back pressure increases.
As an engine gets more miles the bearing gaps get wider, just normal wear, so back pressure goes down, this is noticed at idle first and at the top end of the engine since it has lower pressure to begin with, longest oil passages.
And in some cases 1 bearing will wear more than the others, this lowers the back pressure on the whole system.
I would try running a "thicker oil", 40w or even 50w, what this does is lower the flow at the bearing gaps, harder to push thru the gaps, so increases the back pressure in the whole system, which pushes more oil to the upper engine.
If the thicker oil doesn't make a difference then yes, it may help to get a new oil pump, the flow would be the issue.
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