Yes, for reference the capability of the Delta IV Heavy [0] (which launched the Parker Solar probe) is ~28,000 kg in to LEO. And the Parker solar probe [1] was only 685 kg. I don't know how close to the limit of the mass this is to get in to this orbit, but it still gives you an idea of the capability to get something to the Sun versus in to LEO.

[0] https://en.wikipedia.org/wiki/Delta_IV_Heavy

[1] https://en.wikipedia.org/wiki/Parker_Solar_Probe