Yes, Catholics can get a sperm test done that complies with church policy

You can get a sperm test done without going against the church. You can use a perforated, non spermicide, non lubed condom. I got mine from my doctor, but you can also order them online. This month were are getting two tests done. We just did the first one, which is the basic everyday lab test. This one measures sperm count, mobility, and shape.
Next we are getting a DNA fragmentation test done. This is a special test that you have to order from South Dakota. It came in a plain discrete box. You get a canister shipped to you that will freeze the sample for shipment.  Then you collect the sample at home and  put it into some vials with a pipette. Lower it into the tank and ship it back. So far I have been very satisfied. It came on time today just like it said it would. The box was plain. This was important becuase I had to get it sent to my job due to a signature requirement. Inside the box, were great instructions. They even included the zip ties, return label, and packing tape needed to send back the tank. In a week we will get the results.
****Test results came back. 5% fragmentation which is great. They said that less than 15% was excellent.****

http://www.scsadiagnostics.com/