If the expiration date is later than the date you plan to cook, you should be alright. If it is possible to buy closer to your cook date, then that is always better. The fresher, the better.
Also, before you stash something there for a few days, if you haven't recently checked your refrigerator temps, you might want to take the internal temp of something that is in the meat drawer to verify that it is under 40 degrees.
When I lived in Japan, most people had small refrigerators and would go shopping for fresh fish, meat or veggies on a daily basis. Virtually every block had a mom & pop store with very fresh produce, so you could just walk down the street and pick up a few of this and a few of that. I got very attached to that way of shopping.