Can only answer as a slower guy, so take with a grain of salt...
I think it's possible if you don't want to get really good at either and are just training for fun, general fitness, or to chase moderate progress. I can get in 40-50mpw (am) and run a 6x/week lifting routine (pm) and knock on wood have not dealt with serious setbacks. Granted my 2x/week lower sessions are split between squats and DLs, but think substituting a second squat day for DLs would actually be less taxing on the body.
Narrowing down to three things that I think have helped me:
1) Let go of the perfectionism/OCD nature of training that most runners, myself included, grew up with. If you get a niggle or are sore, take a day off and put the time you would have put into training into recovery, stretching, and the like, no exceptions.
2) Dump the excess stuff and KISS. My lifting sessions generally consist of a compound movement, a variation on that movement, and an accessory exercise-- only 12 working sets. The ole 20/80 rule is a wonder, and especially rings true if you already have years of experience under your belt.
3) Build frequency! Coming from an Olympic lifting background, I am amazed at the time needed for PLs to recover from lower body sessions. Think there is definitely something to touching movement patterns every day, even if that means just bodyweight squats at first. Good progress might be to eventually build up to a single set at 65% or so everyday as part of your warmup.