Is there any way I can make my employers aware of the existence of
this other job without making my current job less secure?
Your employer almost certainly knows about lots of other jobs out there in the world. Perhaps your employer already knows about this one too.
I think you are really asking "Can I use the threat of my leaving for this job as leverage to get a raise at my current company?" The answer is probably No.
Honestly, every manager knows that virtually anyone on his team could leave for another job at almost any time. But that doesn't mean he/she can just throw a raise at everyone on his team every time a new job pops up elsewhere.
Managers have budgets. Companies usually have annual raise cycles. Reacting to every job posting doesn't make sense.
If you want to get a good raise, you can work within the performance review framework in your company. Work hard, find out what matters to your boss and company - then deliver. Do great things, and expect good compensation.
If you start threatening/hinting that you will leave because you happened to see an interesting job posting, you might get more money thrown your way. But you also risk that your current employer will conclude that you won't be around much longer, and will start planning for your departure. That might mean you won't get good assignments or good raises.
Many managers believe that trying to entice a team member to stay by throwing money at him/her is at best effective only in the short term. Since it's easy to come up with a new job posting every month, a manager really cannot respond with more cash each time. Thus, in many managers' minds, it doesn't make sense to start down that path. If someone is going to leave to chase more money, there's not much you can do.
So you could try to dangle the threat of leaving due to this new job posting you saw, but it's unlikely to be effective.