No, not at all - there are at least two Delta Wing aircraft that feature a conventional tail, and they are the Gloster Javelin and the Mig 21
https://en.wikipedia.org/wiki/Gloster_Javelin

https://en.wikipedia.org/wiki/Mikoyan-Gurevich_MiG-21
(Courtesy of http://airheadsfly.com/)
In addition (and I believe this is within the spirit of what you've asked) you then you have aircraft such as the Eurofighter Typhoon or Saab 37 Viggen which feature canards:
https://en.wikipedia.org/wiki/Eurofighter_Typhoon

https://en.wikipedia.org/wiki/Saab_37_Viggen

Ultimately, "Delta" only describes the wing shape - though there of course features of the shape that will lead to many designs appearing similar. The Wikipedia article has a nice infographic showing the general variations of Delta Winged designs:
https://en.wikipedia.org/wiki/Delta_wing
