Yes it is possible, but I'm not going to say for sure that is your issue. I can't remember the procedure for checking that, hopefully someone else will chime in. Could be an injector as well. If I remeber correctly, if you have the truck at idle and increase injection pressure using IDS or equivalent scan tool, it may show a problem with an injector(s) that isn't noticed under normal conditions.
I think if you open the oil drain, drain all the oil out, command the low pressure fuel pump on, look to see if fuel comes out the oil drain. I believe that was the procedure. Worth a shot I'm sure as you will be draining the oil soon with that much dilution.
When did this problem start to occur?