is this sentence correct?

[allthewayanime]

I would like to know if the following sentence is correct:

' Nothing stayed in the way of my passion of this sport, neither the hard falls nor the lack of performant equipment. '

[5jj]

No. It's 'passion for' something or somebody; I don't know what you mean by 'performant equipment'.

[allthewayanime]

But is it correct to use 'neither' or 'either'?

[Barb_D]

Nothing would stand in my way. Neither wind, nor rain, nor dark of night.

You're fine with your neither/nor.

[emsr2d2]

But is it correct to use 'neither' or 'either'?

The "neither/nor" combination is fine. I would say "Nothing stood in the way" or "Nothing got in the way", not "stayed".

I also don't know what "performant equipment" is.

[Barb_D]

I'm guessing that's "performance equipment" -- the gear you need to play the sport/do the activity well.

[allthewayanime]

I know that in negative sentences it's used 'either' so why can 'neither' be correct in the above example?

[5jj]

Nothing stayed in the way of my passion of for this sport,; neither the hard falls nor the lack of performant equipment ( stayed in the way...). '

[emsr2d2]

I know that in negative sentences it's used 'either' so why can 'neither' be correct in the above example?

Because "Nothing stayed in the way of my passion of this sport, neither the hard falls nor the lack of performant equipment" is not a negative sentence. A negative sentence contains a verb in the negative form. "Nothing stayed" does not fit that construction.

The hard falls did not stand in the way of my passion for this sport. The lack of equipment did not stand in my way either.