Hey OP, I'm sorry, I actually meant to answer this a while ago
From a Harm Reduction perspective, injecting solution from crushed pills without micron filters is really frowned upon. The binders and fillers are not good for you when injected.
With that being said, you can inject these pills if crushed and in solution. You definitely want to filter through ar least cotton, and why not filter it twice? The issue will be that you need 5 of these pills at once. I'm not sure how many a standard rig will hold.
I know you want to inject, but please keep in mind that Oxycodone has one of the most favourable bioavailabilities of all common Opioids. It's not like Heroin. You will get a similar end effect by consuming orally.
But... if you are dealing with 5 pills at once as you say, this would be a perfect opportunity to try rectal administration. I'm a major advocate of this route of administration. You can put all of those pills easily into a 10ml oral syringe and then administer the solution rectally.
You get a faster onset than oral and many find this ROA actually has effects that differentiate it from others. You're meeting yourself halfway by not injecting but taking it rectally. That is just my opinion, but I really stand by it.