Yes, stalks is a Scrabble word!

Verb

1. Walk stiffly

2. Follow stealthily or recur constantly and spontaneously to

3. Go through (an area) in search of prey

Noun

1. Material consisting of seed coverings and small pieces of stem or leaves that have been separated from the seeds

2. A slender or elongated structure that supports a plant or fungus or a plant part or plant organ

3. A hunt for game carried on by following it stealthily or waiting in ambush

4. The act of following prey stealthily

5. A stiff or threatening gait