Absolutely. Warwick Racecourse is served by two train stations – Warwick Parkway and Warwick Station – both of which operate on the Chiltern line which can be accessed via Birmingham Snow Hill and London Marylebone.
The Stagecoach bus also runs a regular service to and from Warwick. You can catch the following buses to Warwick 16, 68, X17, X18 and G1.