does this sentence make grammatical sense?

I appeared to have traveled in my sleep,somehow.

It is OK

Somehow I appeared to have travelled during my sleep

might sound more natural.

For inspiration look at a famous opening like Du Maurier's Rebecca:

Last night, I dreamt I went to Manderley again. It seemed to me I stood by the iron gate leading to the drive, and for a while I could not enter for the way was barred to me. Then, like all dreamers, I was possessed of a sudden with supernatural powers and passed like a spirit through the barrier before me. The drive wound away in front of me, twisting and turning as it had always done. But as I advanced, I was aware that a change had come upon it. Nature had come into her own again, and little by little had encroached upon the drive with long tenacious fingers, on and on while the poor thread that had once been our drive. And finally, there was Manderley - Manderley - secretive and silent.

I appeared to have traveled somehow during my sleep.

I appeared to have traveled during my sleep.

Somehow, I appeared to have traveled during my sleep.