Not directly I don't think, but you could get the newsletter issue first:
var newsletterIssue = IssueInfoProvider.GetIssueInfo(issueGuid, SiteContext.CurrentSiteID);
Then do a GetNewsletterInfo lookup using newsletterIssue.IssueNewsletterID:
var newsletter = NewsletterInfoProvider.GetNewsletterInfo(newsletterIssue.IssueNewsletterID);