I don't believe there were fighters of any sort specifically detailed to protect V-1 or V-2 sites. Woulda been kinda impractical to do so, given the state of the Luftwaffe in the later years of the war. Even if there had been aircraft specifically assigned to protect these sites, they wouldn't have operated out of the same field from which the rockets were launched. So your only option for a diorama would be an inflight deal, not too easy to do. (Unless you like to do shadow-boxes.)
There were instances where allied aircraft encountered V-2's as they were launched. So it wouldn't be totally unrealistic to think that an Me 262 pilot could have had a similar encounter, but it would depend upon the area of operation for a 262 unit. You'd have to compare the V-2 deployment areas with areas of operation for 262 units. Only then can you determine how likely such an encounter would have been.
Here's a site that will fascinate anyone who has even a small interest in the V-2/A4 rocket. There's a deployment map on this site, along with alotta other way-cool and groovy info.
I'm gonna have to drag out one of my 48th Mauve kits...
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