Yes. Rouen, Les Andelys, Giverny, and Louviers sit in different directions from Val-de-Reuil at distances ranging from 9 to 44 km (6 to 27 miles), so a private driver can link two or three stops in one day without juggling train schedules or bus transfers. Plan on a couple of hours at each main site, plus travel time in between.
Giverny is where Claude Monet lived and painted for over 40 years, and his house and water-lily gardens, the direct inspiration for his Nymphéas paintings, are preserved much as he left them. At around 44 km (27 miles) from Val-de-Reuil, it pairs naturally with a Seine valley day trip, and the gardens are especially vivid in spring and summer bloom.
Louviers, just 9 km (6 miles) from Val-de-Reuil, is a former cloth-making town with a historic center of half-timbered houses, canals, and the Flamboyant Gothic Notre-Dame church. It's small enough to see in an hour or so, making it an easy add-on rather than a full destination in itself.
Rouen's medieval old town is compact and walkable: the Gothic cathedral Monet painted more than 30 times, the ornate Gros-Horloge astronomical clock, half-timbered streets, and the square marking where Joan of Arc was executed. A few hours on foot covers the highlights comfortably before heading back.
Château Gaillard is a ruined 12th-century fortress built by Richard the Lionheart, perched on a chalk cliff above Les Andelys with sweeping views over a bend in the Seine. It sits about 22 km (14 miles) from Val-de-Reuil, close enough to combine with a stroll through the old town of Les Andelys below.
Val-de-Reuil sits in the Seine valley in the Eure department, right where the river begins its dramatic loops toward the coast. Rouen is about 35 km (22 miles) away, the clifftop fortress at Les Andelys around 22 km (14 miles), and Giverny, home to Monet's gardens, roughly 44 km (27 miles). Neighboring Louviers is just 9 km (6 miles) down the road. Several of Normandy's best sights are within easy reach for a single day out.