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yes it is! A synth is anything that produces sound synthetically, hence the name. So a sampler is in fact a type of synth, and romplers as well.
If you wanna get technical, you can define a synth as a device that is in some way able to generate and alter sound, via filtering on something like that. So a straight-up tape recorder isn't a synth, but add a filter and some envelopes (like Nexus) and you have yourself a bona fide synthesizer 
....at least that's how I'd define it 
Anyways, Nexus is great, but you can't edit and save presets which really sucks balls!
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