False, provided the email form is properly done. I say this based on ten year's evidence.
First you must exclude bots with a robots.txt file in your document root, for example:
Good robots will not touch your contact page. For added security you can include a robot meta tag:
<meta name="robot" content="noindex, nofollow">
Bad and evil robots will try to spam your email form and if you don't take precautions they will. They could cause empty emails.
I have an email script that has never sent an email from a bad or evil crawler in ten years. It does not send the email directly. Instead of a Submit button it has a Review button which displays the email for preview and editing using Sessions. Bad and evil robots have not yet mastered the fine art of reviewing their SPAM. Since I also record all the accesses to the email form I have their IP addresses and if they are persistent I exclude them from the server altogether.
Please don't blame good old Googlebot for the harm created by Evilbots.