Yes, it is very easy to buy premade cocktail sauce and already cooked shrimp. This will taste delicious and festive, but not as delicious as the sauce illustrated above.
I always find that store bought cocktail sauce from the fish counter has a strange texture and that the bottled variety tastes of tinned tomatoes so I make my own. This takes but a minute and the return on investment in terms of flavor is immeasurable. This year I have been making it with homemade prepared horseradish which is a whole other level of sauce, but store bought horseradish works well too.
Make about a cup of cocktail sauce.
1 cup chili sauce (I use the one from Heinz which I think tastes the best of those that I have tasted)
Juice from one lemon
Splash of Worcestershire sauce
1-2 Tbsps of prepared horseradish (start with one and add as needed. I like a cocktail sauce which is on the edge of blowing out your sinuses from the horseradish spiciness, but doesn't quite.)
Whisk everything together in a large bowl and serve with cold poached shrimp.